{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pitfalls - Fxp Arithmetic\n",
    "\n",
    "We have confirmed the precision issues or input limitations with the following ops.\n",
    "\n",
    "We will update this part promptly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation\n",
    "\n",
    "We will use SPU **simulation** tool to simulate multi-parties with threads.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import spu\n",
    "import jax.numpy as jnp\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "plt.rcParams['figure.dpi'] = 70\n",
    "\n",
    "# import spu simulation module\n",
    "import spu.utils.simulation as pps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Default Runtime Config Parameters\n",
    "\n",
    "We will use the following common settings in SPU Runtime config. Other parameters may be modified however."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "DEFAULT_SPU_PROTOCOL = spu.ProtocolKind.ABY3\n",
    "DEFAULT_SPU_FIELD = spu.FieldType.FM64\n",
    "DEFAULT_SPU_FXP_FRACTION_BITS = 18"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Unary Operator"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reciprocal\n",
    "\n",
    "SPU uses Goldschmidt's method to calculate Reciprocal. Please refer to [Secure Computation With Fixed-Point Numbers](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.221.1305&rep=rep1&type=pdf) for details.\n",
    "\n",
    "Reciprocal is only correct if input belongs to **(-2\\*\\*fxp_fraction_bits, 2\\*\\*fxp_fraction_bits)**.\n",
    "\n",
    "First, let's have a look at the figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "spu_reciprocal = pps.sim_jax(simulator, jnp.reciprocal)\n",
    "\n",
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, figsize=(12, 8))\n",
    "fig.suptitle(\"Reciprocal\")\n",
    "\n",
    "\n",
    "def plot_reciprocal(spu_reciprocal, ax, x, title):\n",
    "    (line1,) = ax.plot(x, 1.0 / x, label='expected 1/x')\n",
    "    (line2,) = ax.plot(x, spu_reciprocal(x), label='spu 1/x')\n",
    "    ax.legend()\n",
    "    ax.title.set_text(title)\n",
    "\n",
    "\n",
    "plot_reciprocal(spu_reciprocal, ax1, np.linspace(0.001, 1.0, num=1000), '(0.001, 1.0)')\n",
    "plot_reciprocal(\n",
    "    spu_reciprocal,\n",
    "    ax2,\n",
    "    np.linspace(1.0, 2**DEFAULT_SPU_FXP_FRACTION_BITS - 1, num=1000),\n",
    "    '(1.0, 2**DEFAULT_SPU_FXP_FRACTION_BITS)',\n",
    ")\n",
    "plot_reciprocal(\n",
    "    spu_reciprocal, ax3, np.linspace(-1.0, -0.001, num=1000), '(-1.0, 1000)'\n",
    ")\n",
    "plot_reciprocal(\n",
    "    spu_reciprocal,\n",
    "    ax4,\n",
    "    np.linspace(-(2**DEFAULT_SPU_FXP_FRACTION_BITS) + 1, -1.0, num=1000),\n",
    "    '(-2**DEFAULT_SPU_FXP_FRACTION_BITS,-1.0)',\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Actually the precision is quite high."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(\n",
    "    -(2**DEFAULT_SPU_FXP_FRACTION_BITS) + 1,\n",
    "    2**DEFAULT_SPU_FXP_FRACTION_BITS - 1,\n",
    "    num=1000,\n",
    ")\n",
    "expected_y = 1.0 / x\n",
    "y = spu_reciprocal(x)\n",
    "\n",
    "assert np.allclose(y, expected_y, rtol=1e-04, atol=1e-5)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's have an idea about what happens if input is not within the valid range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 8))\n",
    "fig.suptitle(\"Reciprocal - Incorrect\")\n",
    "\n",
    "\n",
    "def plot_reciprocal(spu_reciprocal, ax, x, title):\n",
    "    (line1,) = ax.plot(x, 1.0 / x, label='expected 1/x')\n",
    "    (line2,) = ax.plot(x, spu_reciprocal(x), label='spu 1/x')\n",
    "    ax.legend()\n",
    "    ax.title.set_text(title)\n",
    "\n",
    "\n",
    "plot_reciprocal(\n",
    "    spu_reciprocal,\n",
    "    ax1,\n",
    "    np.linspace(\n",
    "        2**DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    "        2**DEFAULT_SPU_FXP_FRACTION_BITS + 1000,\n",
    "        num=1000,\n",
    "    ),\n",
    "    '(2**DEFAULT_SPU_FXP_FRACTION_BITS, 2**DEFAULT_SPU_FXP_FRACTION_BITS + 1000)',\n",
    ")\n",
    "\n",
    "plot_reciprocal(\n",
    "    spu_reciprocal,\n",
    "    ax2,\n",
    "    np.linspace(\n",
    "        -(2**DEFAULT_SPU_FXP_FRACTION_BITS) - 1000,\n",
    "        -(2**DEFAULT_SPU_FXP_FRACTION_BITS),\n",
    "        num=1000,\n",
    "    ),\n",
    "    '(-2**DEFAULT_SPU_FXP_FRACTION_BITS - 1000,-2**DEFAULT_SPU_FXP_FRACTION_BITS)',\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Natural Logarithm\n",
    "\n",
    "SPU uses Pade approximation by default. Please check [Benchmarking Privacy Preserving Scientific Operations](https://www.esat.kuleuven.be/cosic/publications/article-3013.pdf) for details.\n",
    "\n",
    "Logarithm is only correct if input belongs to **(0, 2\\*\\*fxp_fraction_bits)**.\n",
    "\n",
    "> **_NOTE:_**  Similar conclusion also applies to **log1p**, **log2**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_log = pps.sim_jax(simulator, jnp.log)\n",
    "x = np.linspace(0.0001, 2**DEFAULT_SPU_FXP_FRACTION_BITS - 1, num=1000)\n",
    "expected_y = np.log(x)\n",
    "y = spu_log(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Logarithm(Pade Approximation)\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected log(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu log(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "assert np.allclose(y, expected_y, rtol=1e-3, atol=1e-5)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, let's see what happens if input is out of valid range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(\n",
    "    2**DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    "    2**DEFAULT_SPU_FXP_FRACTION_BITS + 1000,\n",
    "    num=1000,\n",
    ")\n",
    "expected_y = np.log(x)\n",
    "y = spu_log(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Logarithm(Pade Approximation) - Incorrect\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected log(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu log(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Another Choice: Newton Approximation\n",
    "\n",
    "If you would like to compute faster, you may switch to Newton Approximation.\n",
    "But the precision is lower and valid input range is around **(0, 250)**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    "    fxp_log_mode=spu.RuntimeConfig.LOG_NEWTON,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_log = pps.sim_jax(simulator, jnp.log)\n",
    "x = np.linspace(0.0001, 250, num=1000)\n",
    "expected_y = np.log(x)\n",
    "y = spu_log(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Logarithm(Newton Approximation)\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected log(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu log(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While, if out of valid input..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L6+rqQv+OO+44zJs3D0899RSamppw/fXXo0OHDhg3bhwmTpyIHTt2YPr06WhqasJtt90WYumqq6vRvXt3tG/fHm+//Taee+4543r07dsXGzZswPbt263qb4pjjz1WKaGYOnUqrr/++uD7oEGDMHHiRPzmN79BbW0tmpqa8OGHHwYGwL777osNGzbg7bffxoEHHohx48Zh5syZWLt2LcaOHQuAfr5nnHEG/vCHP6CqqgorV67E3//+9yBElw3uu+8+XH755Zg3bx7mzp2LuXPnYvr06Xj44YeDidPKlStxxx13oLGxEbfccgvKy8sxfvz4II+//OUv2LZtGz777DP861//wumnn06WpWoTa9euxeWXX44ZM2ZgxowZ+MMf/hByEouL6upq9OrVCxUVFXjssccwZ86c4Fjfvn2xfPly6QStkHs8Z84cDB8+PNZkwgYnnHACFi9ejOnTp6OxsREbNmzAwoULUVZWhilTpgTtbuHChbj77rut2sj3vvc9/OY3v8HatWvheR6WLVuGN998E4Dv3PWXv/wFH3/8MTzPw4cffojq6moA/n11Rq3DzghnuDrs1Jg6dSo2b94cfP/xj3+MtWvXokePHjjttNNwyimnBMc6deqEX/ziFxg7diy6d++OFStW4Nxzz8Vuu+2GwYMH46yzzsJZZ52lLO+qq67C66+/jq5du+Kyyy7DaaedZlzXTCaDDh06hP7V1dXhySefDLzzn3jiCTz55JOoqKhAZWUlHnvsMfztb39Dz549MXfuXBx44IGorKwE4BtCt9xyC7p27YobbrgBJ510knFd9t57b5x88skYMmQIunfvbnyeKc4991w8+eST0jBcxxxzDPbcc8/Qb/fffz9WrVqFXXfdFX379sXll18esOHpdBoHHXQQ9tprL7Rr1w7t2rXDPvvsgwkTJgQht6jn+9vf/hYjRozAXnvthYkTJ+LMM8/EeeedZ3Utq1atwttvv43LLrss8NDv378/zjrrLLRv3z5gAw877DDMnj0bPXv2xB133IFHH300JDM5/vjjMWrUKBx22GG47LLLgggAInr37i1tExdddBEuvPBCfO1rX8OIESPw61//Gueff37BIbRuuukmXHbZZejRowdeeuklHH744cGxKVOmoKamBj169MA3vvGNyLmF3OMHH3wQF110UUF1N0G3bt3w4osv4u6770bv3r0xbtw4fPbZZwCAm2++GU1NTRgyZAhOOukkTJs2DUcccYRx3j/72c8wceJEHHzwwejWrRtOPPHEgF0/++yzcckll+Ab3/gGunbtih/96EfBROeqq67Caaedhu7duxekk3dwaG1IeYWsUzo4OLQaeJ6HwYMH45FHHsFBBx3U0tXR4tJLL8VBBx2Es88+u6WrUnTMmDED9913H/773/+Sx1OpFFauXBlLd9xWsWXLFhx88MGYM2eOsfOgg4ND60fLbsXj4OBQVLzxxhsYNWoUunbtir///e9IpVIYN25cS1fLCDfffHNLV8GhhNG9e3csWrSopavh4ODQzHCGq4NDG8aCBQtw+umnY8eOHdh7773x+OOPo127di1dLQcHBwcHh1hwUgEHBwcHBwcHB4dWAeec5eDg4ODg4ODg0CrgDFcHBwcHBwcHB4dWAWe4Ojg4ODg4ODg4tAo4w9XBwcHBwcHBwaFVwBmuDg4ODg4ODg4OrQLOcHVwcHBwcHBwcGgVcIarg4ODg4ODg4NDq4AzXB0cHBwcHBwcHFoFnOHq4ODg4ODg4ODQKuAMVwcHBwcHBwcHh1YBZ7g6ODg4ODg4ODi0CjjD1cHBwcHBwcHBoVXAGa4ODg4ODg4ODg6tAs5wdXBwcHBwcHBwaBVwhquDg4ODg4ODg0OrgDNcHRwcHBwcHBwcWgWc4erg4ODg4ODg4NAq4AxXBwcHBwcHBweHVgFnuDo4ODg4ODg4OLQKOMPVwcHBwcHBwcGhVcAZrg4ODg4ODg4ODq0CznB1cHBwcHBwcHBoFXCGq4ODg4ODg4ODQ6uAM1wdHBwcHBwcHBxaBZzh6uDg4ODg4ODg0CrgDFcHBwcHBwcHB4dWAWe4Ojg4ODg4ODg4tAo4w9XBwcHBwcHBwaFVwBmuDg4ODg4ODg4OrQLOcHVwcHBwcHBwcGgVcIarg4ODg4ODg4NDq0CLGK6nnHIKevTogSlTpmjTPvjggxg9ejRGjRqFM888E/X19c1QQwcHBwcHBwcHh1JDixiuP/7xj/Hvf/9bm87zPFx55ZV44403sHDhQgDA448/XuzqOTg4ODg4ODg4lCBaxHCdNGkSunTpEvrtpZdewsSJE7Hffvvh29/+NhoaGgD4xmttbS0ymQy2b9+OAQMGtESVHRwcHBwcHBwcWhgloXHduHEjrrvuOrz22mv46KOPsOuuu+LOO+9EKpXCzTffjFGjRmHgwIHo0qULJk2a1NLVdXBwcHBwcHBwaAGUhOE6a9YszJ8/HxMnTsTYsWPxyCOPYOnSpWhsbMQdd9yBBQsWYM2aNfA8D/fdd19LV9fBwcHBwcHBwaEFUN7SFQCAbDaLE044AdOnTw/9Pnv2bJSXl2OXXXYBAJx66ql4/fXX8e1vf7slqung4ODg4ODg4NCCKAnGdeLEiXj99dexfPlyAMC2bduwdOlSDBo0CPPnz0dVVRUA4NVXX8WIESNasqoODg4ODg4ODg4thJTneV5zF3rUUUdh3rx52L59O3r27IlHHnkENTU1+OUvf4mGhgak02nccMMNmDRpEm655RbcfPPNKC8vx6hRozB9+nS0b9++uavs4ODg4ODg4ODQwmgRw9XBwcHBwcHBwcHBFiUhFXBwcHBwcHBwcHDQwRmuDg4ODg4ODg4OrQLNHlWgX79+GD58eHMX6+Dg4ODg4ODg0AqwdOlSfPXVV+SxZjdchw8fjlmzZjV3sQ4ODg4ODg4ODq0AEyZMkB5zUgEHBwcHBwcHB4dWAWe4Ojg4ODg4ODg4tAo4w9XBwcHBwcHBwaFVoCS2fHVwcHBwcHBwiIumpiasWrUKdXV1LV0VBwu0b98egwcPRnm5uTnqDFcHBwcHBweHVo1Vq1ahS5cuGDp0KFKpVEtXx8EAnudh8+bNWLVqFYYNG2Z8npMKODg4ODg4OLRq1NXVoWfPns5obUVIpVLo2bOnNUvuDFcHBwcHBweHVg9ntLY+xHlmznB1cHBwcHBwcGhluOGGG9DQ0GB1zrRp03DzzTdHfp80aRIWLlwYqx7ZbBaTJ0/Gjh07pGleeeUVXHXVVbHyF+EMVwcHBwcHBweHVoY4hmsx8PTTT2PChAno0KGDNM3RRx+NF198UWncmsIZrg4ODg4ODg4OBeDee+/FgQceiH333RdXXHEFAOChhx7CN7/5TQDAokWLMHLkSNTW1mLatGk4//zz8bWvfQ177rknHn744SCfv/zlLzjwwAMxZswY/PWvfw1+/9Of/oTRo0djzJgxuP7663HLLbdgzZo1OOigg3DSSScBAF566SVMnDgR++23H7797W8HRu0dd9yBPfbYAwcddBA+/fRTo2sZPXo0Ro0aheuuuy74/be//S1GjBiByZMn47jjjsOzzz4LAHjggQdw8sknAwBmzpyJ8ePHo6mpCV999RX22GMPrFu3DgBw2GGH4YUXXoh7iwO4qAIODg4ODg4ObQbVdY34bF11onmO6N8FXdpXkMc++eQTPPXUU5g5cybKy8vxne98B8899xzOOOMMPPLII/j3v/+Nf/7zn/jnP/+Jjh07AgAWLlyId999F1u2bMH48eNx7LHHYtasWVi1ahXef/99ZLNZHH300Tj22GOxYsUKvPbaa/jggw9QWVmJzZs3o2fPnrjuuuvw3nvvoXPnzti4cSOuu+46vPbaa+jQoQOuuuoq3HnnnTjllFNw7bXX4oMPPkBZWRn2228/HHLIIdLrXL16NaZNm4bZs2ejY8eOOOiggzB58mRkMhm89NJLWLBgAbZs2YK99toLl1xyCQDg/fffx9ixYwEAEydOxGGHHYa//OUv+Oijj3DVVVehf//+AID9998f7733Hk499dSCnoUzXB0cHBwcHBzaDD5bV40pt81MNM9HL56IccN6ksdeffVVzJo1C+PGjQMA1NbW4oADDgAA3HrrrRg5ciTOOOMMHHbYYcE5p556KiorK9GvXz8ccMABmD9/Pl5++WU899xzePvttwEA1dXVWLx4Md555x1897vfRWVlJQCgZ89oPWbNmoX58+dj4sSJAID6+nqccMIJeP/99zF58mR0794dAAJ2VobZs2fjyCOPDMqYMmUK3nnnHXieh1NOOQXt2rVD3759ccQRRwTnbN++PagbAPzxj3/E2LFjsfvuu+Pcc88Nfu/Tpw/Wrl2rLN8EznB1cHBwcHBwaDMY0b8LHr14YuJ5ypDNZnHRRRdh6tSpkWMrVqxARUVFxGDjvelTqRRSqRSy2SymTp2K8847L5T2nXfe0dYvm83ihBNOwPTp00O/P/nkk4lEW/A8T3pMzH/9+vVoaGjAxo0bkclkUFZWBsAPWabSwZrCaVwdHBwcHBwc2gy6tK/AuGE9E/0nkwkAwJFHHomHHnoImzZtAuAbbmvXrkVDQwO+//3v4/nnn0dDQ0NIy/rEE0+goaEB69evx5w5czB69Ggcc8wxuOuuu1BbWwsAWLZsGbZu3YqjjjoK06dPR319PQBg8+bN/nV26YLqal8SMXHiRLz++utYvnw5AGDbtm1YunQpxo8fj9deew1bt25FTU0NnnnmGeW9Gz9+PF599VVUVVWhvr4ejz/+OA499FAcdNBBeOqpp9DY2IgNGzbgjTfeCM4ZNmwYVq1aFXy/6KKLcNNNN+HAAw/E3/72t+D3JUuWYO+999Y+Px0c4+rg4ODg4ODgEBMjR47Er3/9axx55JHIZrOorKzEjBkzcOutt+KEE07A2LFjcfvtt+OII47A5MmTg3MOPfRQVFVV4dprr0XXrl1x7LHH4uOPP8aECROQzWbRvXt3PPbYYzj++OMxZ84c7L///qioqMB3v/td/PjHP8ZFF12EI444AnvuuSeefvpp3HnnnTjttNPQ0NCAdDqNG264AZMmTcLPfvYzHHjggejdu3cgYZBh4MCBmDp1Kg477DB4nofzzjsP+++/PwDfQB85ciSGDBmCfffdF127dgUAHHvssXjzzTdxzjnn4O6770bfvn1xwgknYNKkSRg/fjxOPvlkjBgxAm+99Rb+9Kc/FXy/U56K/y0CJkyYgFmzZjVnkQ4ODg4ODg5tGJ9++in22muvlq6GEaZNm4bevXvj0ksvbemqWKGmpgadO3dGVVUVxo8fj5kzZ6J3795YsWIFLr30Ujz99NPSczdu3Iizzz4bL7/8cuQY9exUtqJjXB0cHByaE00NQLrM/+fg4ODQSnDBBRfgs88+Q0NDA371q1+hd+/eAIBddtkFZ555Jnbs2CHVsK5cuRLXXnttIvVwhquDg4NDc+KPfYC9vgGceX9L18TBwaEFMG3atJauQiw89NBD0mNnn3228tz99tsvsXo45ywHBweH5sanz7Z0DRwcHBxaJZzh6uDg4ODg4ODg0CrgDFcHBwcHBwcHB4dWAWe4Ojg4ODg4ODg4tAo4w9XBwcHBwcHBoYQwY8YM/PSnP419/rXXXovHHntMerypqQmTJ09GU1NT7DJaCs5wdXBwcHBwcHBoI2hsbMR//vMfnHLKKdI05eXlOOqoo/DII480Y82SgTNcHRwcHBwcHBxioqamBsceeyxGjx6N0aNH46WXXgIA9O7dG5dccglGjhyJE044Adu2bQMATJo0CQsXLgQALFy4EJMmTVLm/+WXX2LSpEkYM2YMTjrppGDL15kzZ2LkyJHYb7/9cMkll2DKlCkAgFdeeQVf+9rXkE6n0djYiAMOOAAffPABAODb3/42br/9dgDASSedhAcffDDx+1FsOMPVwcHBwcHBoe2gbhuwYlay/+q2SYt76aWX0KtXLyxYsADz58/HxIkTAQCbNm3C5MmTsWjRIowZMwZ///vfY13OZZddhh/96EeYP38+Dj744CAO7EUXXYR7770XH330EbZu3RqknzVrVrBNa0VFBe666y5cdNFFeOyxx7Bu3Tr84Ac/AADss88++PDDD2PVqSXhNiBwcHBwcHBwaDtY/zHwr68nm+f3XgJ2mUAeGj16NC6//HL8/Oc/xymnnBIYrpWVlTj11FMBAGeddRauuOKKWEXPnj0bzzzzDADg3HPPxQknnIAtW7agsbExMFDPOOMM3HPPPQCAdevWBb8DfvD/E044Ad/73vcwb9684Pd0Og3P89DY2IiKiopYdWsJOMPVwcHBwcHBoe2g7z6+oZl0nhLsueeemDt3Lp599llcccUVOOecc3DppZeG0qRSKaRSKQC+vjSbzQIA6uvrtUWz83h4nidN3759e9TV1YV+W7hwITp37oyqqioMGzYs+D2TybQqoxVwhquDg4ODg4NDW0L7rlJ2tBhYs2YNevbsifPOOw/t27fHK6+8AsA3Sp966il885vfxEMPPYRDDjkEADB06FDMnTsXY8aMweOPP67Nf9y4cXjssccwZcoU3H///TjssMPQo0cPlJeXY+7cuRg7dmzIyWqvvfbCkiVLgu8PPPAAKioq8MQTT+DCCy/ErFmzUFFRgaqqKvTt2zfhu1F8OI2rg4ODg4ODg0NMLFiwAAceeCDGjh2LG264IZAE9OrVC6+88gpGjhyJjz76CD/5yU8AAFdccQWuvfZaHHDAAWhoaNDmf+ONN+Kmm27CmDFj8NZbb2Hq1KkAgDvuuAPnnHMO9t9/f1RWVqJr164AgK9//et46623AADr16/H7373O9xyyy0YP348jjrqKFx99dUAgDfffBPHHnts4vej2HCMq4ODg0MSyDQC6XKAWNZzcHBou/j617+Or3+d1tTecsstkd9GjhwZRBWQ4fzzzw8+77rrrnjzzTcjacaOHYtFixYBAC699FLstddeAIDddtsN7dq1w6pVqzB48GB89tlnwTl/+ctfgs//+c9/8Pvf/15Zj1KEY1wdHBwcksAfegMv/Lyla+Hg4LCT4KmnnsLYsWOxzz77YNOmTbjggguCY9deey1WrVolPbepqQknnHAC9txzz+aoaqJwjKuDg4NDUpgzAzj+upauhYODQwlg48aNRc3/7LPPxtlnn00e22cfuTMZ4DuInXvuucWoVtHhGFcHB4fWjw+mA/fKd4lpPjiZgIODg0Mx4RhXh+bBsneA9t2B/qNauiYObRHPXt7SNXBwcGhh1NXVobKykgwf5VB68DzPKByYCGe4OjQPZpzg/522VZ3OwcHBwcHBEgMGDMCqVavQ1NTU0lVxsEB5eTkGDBhgd06R6uLg4OCw88ExPQ4OLYJu3bqhW7duLV0Nh2aA07g6ODg4ODg4ODi0CjjD1cHBwcHBwcHBoVXAGa4ODg4OhSLYN9xJBRwcHByKCWe4Ojg4OBSKwHB1cHBwcCgmnOHq0DYx90FgWjegdnNL18Rhp4AzXB0cHByaA85wdWibmPeA/3fbmpath0PrR0MtsE69r3jAuCYdVaBxhz8Bm3NPsvk6ODg4tFI4w9WhjYIZEI4JcygQj18E3HYwkM0oEhWpne3Y4v99/87i5O/g4ODQyuAMV4e2CRdP0yEprJrt/1XpWIulcWXt2MsWJ38HBweHVobEDNfa2loMHToUP/3pT5PK0sHBwaEEYMLeFymqQCrXRTvD1cHBwQFAgobrn/70J0yYMCGp7BwcCgRjqpxUwKFApAzaUtEYVwPDdeatwJwZxSnfwcHBocSQiOH6+eef49NPP8Vxxx2XRHYODoUj5TSuDknDhHFNGCaG68dPAZ+9UJzyHRwcHEoMiRiuP/3pT3HNNdckkZWDg4NDicGCcS2atlpjNLuVBQcHh50EBRuuTz31FPbcc0/sueee0jR33XUXJkyYgAkTJmD9+vWFFungYAAnFXBIGi3AuLL2q2JcvWzxyndwaOvYuhr4x77+X4dWgfJCM5g1axb+85//4JFHHkFNTQ0aGxvRtWtXXHXVVUGaCy+8EBdeeCEAOB2sQ/PASQUckkJLalxZ+1WWnXUTNAeHuFjwMFC1DFj4KHDwj1u6Ng4GKNhwveaaawKZwIwZM7Bw4cKQ0erg4ODQNpBAVAFbA9OYcXVwcHDYOeDiuDq0bTgmyqFgJMi4WrdHT/hLJXFSAQcHh50HBTOuPM4///wks3NwKABOKuCQEIw2ATBtZ3EZV43R7CZoDg7x4BmuljiUDBzj6tA24XbOckgcCUQViMu4KqUCHtwEzcEhLty709rgDFeHtg3XJzkkBaXR2dJRBRwcHAqCIztaDZzh6tBG4aQCDknBoC0ZM6kx26POcHVSAQcHh50EznB1aJtws2eHpGFkHBZLKuCcsxwcHBwAZ7g6tHU4JsqhUJjMgYrFuJpIBdzOWQ47A7JZ4N1/APU1LV0ThxaGM1x3Bjz3U2DBoy1di2aGkwo4JIUkowrYwjQclkPJYNMXLV2DtokvXwdeuQp49ffJ5uuiCrQ6OMN1Z8DsO4HHLti5Zqomux05tD0U83mbxHHVjX1F24DAtfOSwGcvAjftDyx+uaVr0vaQafD/Nm5v2Xo4tDic4bozoam+pWvgI5sFFr9UZKPSzZ53ShSjTRltH1ws5yxDw9VN0EoDGz7x/278rGXr4eDQhuEM17aOUhzQProXeOB04OMnW7omDg7mMNo5q1hbvqrSOKmAw06AUhzLksT6T4A3/tzStQijYbv/r8TgDNe2jtDLXiIvfs1Xub/ri1eGEUvmUBA2fg58eG9L10JAMZ53qTOullk6FB9t3chySB4zTgDeuKalaxHG1QOBqwe1dC0icIZrWwc/4JVMZ2ri7JIQSuaa2yDunAw8fWlL1yKMlta4itiyIqEyNc5Zrp07tHUULcSh4a53xUY207LlS1F6fYszXNs6PP5lKL0G6NCKUb+tpWtAQNHGazcD1V/ZZ2mjceUHv8UvAzeMBj7/L5esSBpX9247OLQNuEmoFs5wbesoRf1bs3r8u05gp4KqTV23O/C3PWNkarBCQB1bv8j/yxx2/IR2RZtGFXCDXYnAOYUWDW2+jbf160sOznBt6yhFqUCqGaQCLhxW8ZEqa+kaEFAtqRe4FNcSzlnBeY5xdXDw0cYnB27M0sIZrm0doQGvRF6IFGt2LhxWqwZ7jtkSYvVbOhwWLxVIsi4tsvmBg0Mpoo22dy/ywUECZ7i2dZQi49qczlmuEygemOFaKJOZKErMOQtAeBIVVyrgnLNaF9zzaDUIHlWJkB3uXdbCGa5tHSWpcWUGTxFfUCcVKD4CxrWEDNeiPm9J3nVbgVsnGmbhnLMcHBwouHfYFM5wLRY8rzS2WM2WolSgORjXEpk9t2UEhmtTy9YjhCLGcZUZnUvf4rah1O75ale0C4fl4CCgrfft7l3WwRmuxcLyd4HrdgN2VLVsPWykArdOBN79RzLlbt8EvP13SZnNuTmA6wSKhnTOOauUpALF1LhKJ1oWxmpcxlWZxLVxB4c2A/c+a+EM12Kheh3QVAfUtXCsSxvnrPUfA69clUy5z14OvPo7YN386LHmWMZ3UoFmQO4el5JUoKg7Z9melgAzZNJ+PQ9uguaw86Ctt/W2fn2FwxmuxUYhy+GbvwSmdQM+ezGZ8sVBcP2nwFvXxc9bhcYd/l/KqGmWqAIMrhMoGppF8mGJltg5izdQE48qYGK4OqmAg0N8lMjOWe4dNoYzXIsFk8DhOnyVC2C++IUC6qEof/ELwGt/bAGHluZgQx3jWnSUonNWURG3LRVgzBoxrs45y2FnQrEMzJbWzhpEEHEA4AzXIqJEGqFKKmASaicuVLPXZpUKlBAb2NawszhnadurzYBXDI2ra+MODm0HznDVwRmuxUISjGsi9eDYsMjA2wx1JAlXJxVoEyjFOK4tEQ4rhIRZG1PGtaUnyA4+Wnq52aH1w73LWjjDtWgwCGNjnFUBeZg4ZxXFcDXowJsjHJbrA4oHFlXAVipQuxlorEu+PgBaJByWjbFSlEHJOWc57AwoUhsvFUOxVOrRCuAM12KhZBhXg91+ilpHonwnFWgbCBhXy3t87XBgxvHJ1wco0XBYPIokFXCDnoNDTJSIc1YA9y7r4AzXYqMgwymJcDqqOK4tZVy7OK5tAoU4Z62ek2xdmgUGbSk0+BHpi+ac5VBScBOJIqBUDMtioUT8YloBnOFaNJQK49pCUgGlc1YzbPnqogoUH+wZl5JzVlGed4FtSWfMKqFJb7KzVlvC0reAF3/V0rVwcEgebqwyhjNci4WSkQooGNdgzCuicw31MjbHMr6TCjQD2D0uIeesohpwCWhcrYvUGa5Zs3RtBfecCMy6paVr4dAi2Ena+E5znfHhDNeioUQMV+UybjHraMC4OqlA60YpxnEtqsbVJByWxohNesvXnY1xdXAoGS0qgVVzgK2rCstjZ5mEFgBnuBYLxYyRalUPhVHaLHVUbUDQHFEFLK5tWjfg2Z8UpzptESyqgGNcC89DmtyQcXVwKATZLPDAGcCKWcUrI9MIPHM5ULO+sHySHq+C/BIwiO+aDFw/qsBMStBwbWk7RoAzXIuGJI3ChMJhyepSTI0rKRVoBo1rXKnAB/9Kvi5tFQHjWkLGU1E1rpbXSU0ME2dcs0bJHJoLJcwGqtBQAyx+EXji4uKV8cVrwJzpwMu/LV4ZJYG4L2MCL/HD3wFm31V4PiJKaVUNznAtHpLQuCaxJKJ0zmoOqUALaVwDuBG9aNhpds5iWdtGFUgAuiKDd8i1c4cCwNpRqhlMglJe6m9JJLEC+vFTwHNXJlMfHiW1quYM1yKiRDSuLRXHtcU7J+ecVXS4nbNykLR19g4UNarATuac5VAcBIZrM/TbhbbVYtZx21qgblvx8jdCCb7LjnHdSdAaogowFLNRFksqsKMKqP4qXvkOyaAUnbOKggR3YUs8jqtr36WJVvpcisq4tjSZoUEqBfx9L+C2Q1q2HqU4ZpXUqpozXIuIEjRck5AKeF4ChkoCGxD8bS/gb3sqimjOTQ52UpQi49oizlnSL+Z5xIWTCuwc2L4ReP5nvoNTMdCcUoG4bbVoBp2Q75blRSpHhxJ+h0uqj3eGa/FQKmFq+AYXieMaw3B966/A73sCTfWmFYj+lATj2qTb695tQFB07DTOWbq8LZikojlnuXbepvHyb4H37wC+fKM4+QdkRBFZ0RaXjznERin18XCGaxGRIONayKCkLD9GHefe5/9t3BG7Ss3qnOUG9OIheI5Fmo3ffCDw6PcsTypiHNekQ1klkUepTJAdiowiP1/2DjcL4xoTbd3wLZUQmhScVGAnQSIa1wSWuxPf8tWw81CGw2qGZfygmiXYCbQVFDuqwMbFwMLH7M5piXBY/IBKDq7OOcuhxMEY19bgnNXmUYL3x0kFdjKUksZVKhWI86IU8nI15wYEpbXE0aZQks5ZLbFzlgWSds5yRoBDEgj6yWIargXm3ebbegtd39ZVvrOzCo5x3UlQilEFknDOMp6Rq7Z8bUb9qWkZbb5TLAJK0TmrRcJhFTMP052zmrn9fvAvt1mHCq2tP/GakXEtNUaxOZ5V7WagqcEsbXO3netHAjfup05TUuSEM1yLiCT0KkkwPAZGaVEND+oamoENtZUjtLaBphSQym35WlKdWks7ZyW9AUGJSgWe/YnbHrktIdsMUQXauERViWuHA4+cZ5i4BcYiHePa0gScAGe4FgtJMK5JNJasiVQgRjm6gVI1c2+WWb2lcVxiL2arQMC4ltC9K6bGVRoOK2ZUgftPBzZ9oTtBc9iFwyopiG1hw2fAmrktUhUrNCfjuuhJYFo3YMcWu/Oa0zlry0pg4ePJ5vnZ82bpSpFEcVKBnQUJMK5J7EOe+Javlsv8nqdIW0pSgRIyvloL2EBSUp1aS2hcZc5Zmrp8/hKwdq46jSnj6qDGfVOKs4e7DreMB+44vPnLtUW2OaIKsP4iF4t2ywq704tt0PHv7r+OBR79bnHLE1GKBitDSa2qOcO1+CiIcU1YKhCHcV0+E3j/zvx341BWCpaqOfS/1lIBTV0+/y+w5qOCqtTmUIrOWS0RVcAGYv208RF112MxQc5mSy4eY7Nh7Vxgw+KWrkXpokXCYcV9V5uBea0x2JUxcZRwaLtS8mOAM1yLh2JIBWbdBjxyfmF5yNLIBr7pxwLP/9Q+X56lkuVd1Blmrvxta82S667n/tOAOyYVVKOSRt02g2VrAaXonFVUFME5S3fvjBlXg7rdMh64eqA+XVtEpsGx0yo0xwYEImL3/0mPGwaTvzUfAf8YC9TXJFw2VZ0SNFxLalXNGa5FRBEM1xf/H7DoiQLyUEgFkt7RR5m2GQMtv3G1oVapBDuL5sT044Gb9rc7R2Rcq9cBr/4+qqt+/ufAVx8nU08dWmTnLB6WA3+hxpSNc9amz4GmAjYOac3INDrDVYXmYFwjGtUS7nPFur55LVC1FFi3oBkKL8H7UmIrNc5wLRYSYVybSyrgwfxliSEVaEmNKwCs+VCfplniGJYwvorRIYvOWU9fBrz9N2Dd/Hya7RuB92+3XykoJcTeMINoSxGpgI6tdnFcE0FzGa7Ffh7Fyj+IKtAaGNciIVQf8T7s5BszlNiqmjNci4YSiSoQanCSFyObsX9prLz1E4xmIEI2Ewx1wAadDqtLKW952NLINAJ3HOHrnoHozlnM6YJ/3g25pbV2nfT5124GZv2zwA68JRjXAlYfbKQCVPlxogosfsn36t662vyc1gzP89tmszCuxdIpFtlwahaNa1KMa4H34s9Dw34bAbj6tMj2ss24EmkLJxXYSZDEHuJJhLpRDnwxDEhT56zm0rhKB37e09ugmXstwDi0NlSv9dnrl37pfzdxzmqs9f+aGK7P/Bh48RfA+k/i17ElwmHxZYaaj8IxMfhu4ZxFGq4xBju2je6GAu5za0Iw6DZjFJNSND5UaJaoAiWCui3AS7+K/q56v5oVLdR2VNdaSg64cIZrEZFEB5awVCByjDdcbRlXU299Kl2CrIQ4E2yo9f/xMDJcWV2c4SqHEBYq4pxFhI1q2O7/NTFcWdqM4Q4zJIrJuMYsUzUZ0g0IofcnIcZVkV3B+NexwDOXFyHjAsDaU7NIBVppXN0SWwpWI4F7y48JJMkkI2hK+LkWamQ31cmPOcZ1J0GpbECgdM7i0iQuFeBZqiIyruILdc0g4Npdw8ZCsRjX5TOBRsXL3tYg03qqjC8bqUASGxoUgyHRrTJYlSmRzZikV0oFbFDEydmKmcCc6dHfq7/ydc7ipLI5EBiuzWF0eKE/AR7/AbDg0WYoPyZagnG1fhxJjBeUL4OCZAom6a1A+1uovaB6N0tsYuMM16KhBA1XqUTPhnG1jGm5/F3gf7cL5SWpcRUMVy+b85yOabiaYutqP1TYi7+wO68tQGQoVJ0a6wwrOurzDQzXUtO46pyzVE4dYlJbjav0S+6nQjYpaUb26K3r/Igoi18I/75iFnD9KL+d1NcAX76RfNmZXB/RnM5ZYlnz/wM8dkHxy4+LnSWOq/I6CY2rTZuh+q3qr3w9uRVayHBtVBiuLqrAToLWwLjydTQ1FrS7CAnp3rkeeOW3ssqZlamCifbGynA17BTZS77hU7P0xUDtZmDl+y1QsMBQKBlXJhXorM82ibiwLR4OS5tJ+KtNVAGqP4izNN0SOu50mf9XvIevXw1sXQls/gJ4+lLg3yf7kSiSRLNKBYrlnKVANgt88C/febKQPAB126he5/+LCzFv6/cpgXYbMMu6iB8Sw1VVZ+rYxs+sqqctI+nzFr+U/6w0XJ1UYCdBiRiuyoGxEI1rEXYRigPZC2UtFRB0mzoksaxdCDwPuHY4cPfRzVimRO9VSlKBYm75KpW8WORl65yliypQyp7IPLTPNpXfAKOpPtmym9Nw1fX7r18N/LFfskUueAR49ifRlS0bmDCufxvh/0sMLdBmRT1++GD+Y6wQeC3s3GXbvuurgQdOz39nJAOZt5MK7BxIwrvUJri4Lg9VPlYaV9MXWjE7TlIqYMIyFDOqQJxr2L7J7yTWfAQ0xXRESpqVMgEzUANSyUQqwBhXA6lAukQ1rtq8qQEPZmOedkAwdc6KgeYcVK0mJQnXK9ucUgFNn/3mX9ROMHHQUO3/rd8WP49m0bgWyrgmuEJHOWcZachVjGtS7auZpALiBJE6v0MPoF0XYMDYeHUqEpzhWjQkwbgm8KKaSgVagnEtRlSBADzjShij9TXAXUcDa+bmqmIpFWB51tcA795opwG6blfgryP8LWRfucr8PB4twfRGls1y302kAiYDYnMxrg21/vbJSU3WtPkQjiAMNmFmkorjmrRz1twHgI+fiv6+dp6v79u4JJ5mMCm0hFRg0+fAOzcUvzyq7FjntsCWry3BuLLxgiQoKKmAhXNWUhPB5nLOiviHEOW26wzsewbQfUi8OhUJznAtFgJWqoQMV1UcV2uNq2EcV7pSZnmYQDbw66QCHz8JrHo/7wFty7gyQ3XDJ76G94vXzM5jYCzJVwvtzmNoCQMguNeCjk+lf2JSAZP2pTNcPQ9466/AtrXyPEzKeeMaf/vkJf/VpwUM2rymzBf/H/DJM3T9dPXVhsMqZGUnoYH2yR8CD38n+vunz/l/l76hiPlrYRjERUtEFVj0BPDfqcKxYl1j3J3dOLRIVIGWkAooNpoJxWPm3vlnfix/f6m8wz/GqWSMc2KcRzk2R7L0UIohIp3hWjSUiMbVREwuMq4mHYpxOCxVHsVkXPmqEM2cGS39x+TqYsm4iku8fD2eutTckzT2gN2Cnb7OWOKvqb6anazPX2e4Vi0FXvsD8PhFqkrqy2FLqrZLtkYbaUie5+tXs8TCuSXknPXhv4GqZeb52CDFnLNkzi4pc8dP0zQMzRpVQFFGWUVxykzC6G+WnQML7LMSGS8o5yxhIu4nyP82Z4Zh5i2sM7dt3xGZnURDX4Kb8jjDtVhoDVEFZOUoy01gyS/JmbbMcKVmzzx2VIWPWTOuQrnMaxoAPrrXLA+/QIu0HFqErZCwZaq6sM7RhnGVseiM5VYZnC2xc5aI7ZvyjkYMKn25CjrnrCSv9+n/A2acmFx+PIwiRhRpgGyRqAIEytolUUC8snVQedsnBdmKn3kGCdSBkERQE/HglbcJh5VQ+yolqYBjXHc2FLKEx7JIwnDlBgpTqYCJ7s40HFYheZhAyrjynZCimUecKUwNV+Eexe3wWxPjKkoFjEL/2DCBkpBJ0YTmeapgvemGLL3w+037+/9M8rAJh6WM4xqjPVBGcd1W+3xM8k/aOcuKcW0BqQCFQhhXZT+RBOPaDIZrUoxrIXUkJRGKfsy0zTTWAVcPjH9+ErAtS9yhUPZuOsZ1J0IS8fyS2D7QxDkrmwkfMxlcknCgKXq4rxxUeiaRGTd9R0XmKFVGp9OiFTKukQ0ITFggg7TNFg4rribQQCqQSvl7oUvPtZQKaBnXhJyzis1GyuK48rCRCsADFj4OPHmJPmlLRBWgkDYwXBu2Ay/+CmjckVydTNAcGldbfXc0g5jncQics/ioAtTkT9YWJWXv2By/TiKaK45rJOycRCpQgnCGa7GRiIFXZNZWZFxVg6nx4GJikBWRcaXYHlU6W41rhHGN+SrFHihawnAVjCRTA4P7U3TD1UiSYDlZ0LZ5i2dhG8e1mIwrNVlNklyhHCSVrI5l4Y9+F5h7nz5dyUgFDAzX/90OzLoFmHNPnMJjnMNObY6oAoVKBRJA7Sb/LxUOq5A4rs2645gEhWpcnVTAIRFWMWnGVSoV8MJlKFnMBDWuiTCuCUkFbL2bEzNcE2Bck2RfVXlFQn4ZrCpEBgUTxq3ENiDQ5W3lTGQpFTBmXC1ANTmbsFxxwJ6tWA5574olFWjGDQgopMv1p8dhh5NYym0WxlX8LvzwxWtqqUqh/dyGz4C7jvQ/kztn8V9s+6Ikjbu4jKut4SrGEJe8i04qsBMhSeesxBy8JEs1NowrmS8Bo3BYzcS4KjdDEO9xzKgC6WaWCthKO4yzVRmhEqPDJESMSVrTLV83LQFuGudveRspT31qLFgxrrLnKTN6LRhXpZEX88IXPOpHwNi+PvdDkQYpWVSBfILiDZAsqkBzMHzKqAIWzllx7kUSK3PNGlWA+163Dbj3FOCxC/Xnx20nm5dyXwjnLLJIhbyBD8snrVOMZ9JczlkyjevTlwEPncvVxRmuOxEKNFyndQNe/X1heYjnbt8geDtL6qgKph+04SQGgSIarjxUwaZFw9W0405q7+a4A4WSSS8EKsZV0LhaOWeZMK6GUoEdm/0A71++oSjPAIk5Z9nkIX63iCpQDOeseQ/6n1kYrGIZj9JnK1ue1KFEGddCpQKx2liSjGszRhXgnwfrT8VoHKrzbcEz3jrnLOnqTy7N8pnA3/cCPnmWnVBY3agyin2eTCrw4T3AJ0/nf3eM606EJJfDVXnceSTw+jXy47wR+sj5tLdzMRhX5blJMq5cXUMGt0YqEHEasg2HJcZxjbnUmoRUIEkmyYQ9FTt6E8bC5FmndaxcJHN5eUokHMnBSvtqKRXQMa5JOWcVQypgE1UgpHFNmBltTYZrgGY2FrxmkApEVvxiPo+440YZb7jyjKtq8iepM9s4hv0tBeOuWFKBEkTBrXTlypWYNGkS9tlnH4wZMwaPPPJIEvVqA9AM2EvfAuY9ZJiVokGu/gB488/xzg0Z11w9jcJhJbABge6laKoHnv9ZPuYqhSw3a+RZUP6+q5bx48oxIsvmCQyKb/8dWPm+/XlJMq41XwG/7wWsnU+UUwjjyr4mwLgq8yqKVkBRnlCmbgCzds6SlCPml5RzVlEMppTZsy3WBgTNGVVAGQ7LRCpQSPst4NwWiSpg2+cW+G7zkV90zlkyjSv7zow+nW650DB1VuclJBVIoi5FRsGttLy8HDfccAM+/vhjvPzyy7j88suxffv2JOrWuqFjXO85EXji+4Z5FWsTA1ZH0QgrsnOWqYzi46eB9+/wt/mUgTdWs+JOIDkYxXEtMKqACUtNgivv1d8Bdx8dY+BOsHNZ9rZ/T6lNFGTbddqEwzKSChSi1StmR2vLuBqkSSwclgVIx5RiGnWeuX4ZsH+GKmkT0LxxXFVlmITDYrBh8OKwfTXr/Y0yGGL3XzawmMSqEJfdTEsYV6ofk02i2Fe2zM4mI4m+P81luIpSAUldSoFNFlCw4TpgwACMHTsWANC/f3/07t0bmzcnGNOs1SLB5fDmDodFMa7suKnntxHhqrmuSNxQArzhGnoRidlzKG+J01BsqUDMjosyqqvXRn+LQGPQxEVwXSrjxoJxjeWc1VyMq2HaRJyzJGVaSQVUjEiBbcBWKmMLtuohvidB/YmlWyX4/koYgJsafB+B+Q/734Pd21o4jmvRNK6GqN0MPHWJf2/+ugdw3a7+79s3Av+dliu/iPfIiHG1WL2xRYgdpZyzbBhX0XAtAWbStg4mUoGdwTlrzpw5yGQyGDJkSJLZtk40l8a1kHNlUgGTJYO4L+rdX7e/N6rBNKRxlewSRmpcs/Rf06WypKQC1LXZ7lyWaFQBxZJhRAtmMjmLwbga6y0VS+eJQjNZo5iaaKJoWuq7Ku9iOGcxqCYscfIDDOO4UhNGW8ZVcJSs3+b/fes6/29zGq5KqYAJ40oY8qHDJqsbElw7HPiIiHv7yTPmeRQCmRFofH6ubtvWAK9Mta9rWiIVUPZjEmObGX3BMzWZ1BqilKQCQNtkXBk2b96M73znO7jjjjsix+666y5MmDABEyZMwPr164mzWykad/ix4Ui0AsOVf2F1hpC4lB5X47pyluY8vkyDF1gqFdAYE1Im0JRxFfd5TnCpzZZxStQ5S8G8SWNwSspvasiHIjJiXC1lKHEZ1xbdZlccCC3aTTGds5JgXFUTDiM23eL5h4xuzZ7rJeOcVUg4LJMtX2O2z3ad85+LLRkJfbWNjJJL8/nLwLs3AOs/sSteFlWAeodkfRFbnazd6H8vCuMa13C1ZVwNNiBoq85ZAFBfX49vfvOb+MUvfoGDDjoocvzCCy/ErFmzMGvWLPTt2zeJIksDT/4QuGU8FyeQQ8kwrorBxIZxtdUnGcVxzfqOV8//3DdyTJDN+tsiMvAvn/giqiBlXONqXBOUCph0FsUKh6XS+gZtScO4su9/7AMsfoE+h4I21mekQsRPReho4+6cRelTbR1UTBnXWOCWAZOYeEUGeWLVw8g5y/KadAw9m9A2i8ZVUXeTWM/aNlaEa2jXkSinCFCuNpj0eZbvjojQCgAhFQjlL9O4ZoH3bgI++Jf/Xcu4xkBLMa47k1TA8zycf/75mDx5Ms4999wk6tR6sOJ//l+y00+wo0ki9JQuf1ONq3GdVEH/ubze+DPw/u3Ap89QCaM/vfo74OqB+e/8nt6yqAImTJWtc5Z4/UmGw7JlnJLsNFXxHKUstVh+TIMyEY1rMWFgoNp28kmFw7IiXIk6vn+nRQYSSI1fRVQB8pos2DdAH1O5VKQCxfJ3sInGQKFdJ3X+iaFQxlXMzrLPlcrHiH5M6pyVBZa8kv/ODFep86VdFQtDoYyrhLBqi1KBd999Fw899BCefPJJjB07FmPHjsWCBQuSqFvrhsi4ZrPAB9PNmcVQXsWWClgwrrZ7OCvr5qkHbsphauFj4TQN1fnPoQHMkKlqacaVZDYtB+5iMK5KqYDQtmWet2T+KsbV0nCNG3fQRLagOq8gWEoFtBOUAibIfN7L3s59KETjqmJTNRpXntkp1Ds6X2jueIlIBYzS6c6njhPPbPsmc4fR8vZc9i3knGWk1S6QcQ1Bx7hKyvCyQFll/nsg/ygFqUChGlfq+oFSZFwNNk9W45BDDkE2rkd1W4FSMJ+7N588BTx7OVC7CTjsp3b5Fc05K/c3mxEYygQ0rqZSAZ0zgu4YLxsw2v6V/SYxXEtB42qCYjGuSqmAxOgwYVytwmEZ3kvqua6eAww7xOx8eMCnzwP99gF6DFOk00zWbAxa63fb8L1MavJSFI2rZ/BsOWanUI2riFKJKiCuAqnuteyYyXNu3AH8Ywxw8i3AyG/q04cLsExfQN6hexVHKmBbVw3jGqqP5J33skA5Z7gmEcJPRDGlAk0NQKYeqOxiuAEB2ibjulND1dGKjCszsFTB9MVzg+8FdLgmus9YUQWSGAS8fL6qbVlVqK/Jf+avNXQqkU9WYriavqPiAGw6eYt4Xiu899UZyfMsBCqpgHTLV7FqiuVfI8bV9HqIdK9cBWxZqT6Nv7b/nAXcdqhZeulzIZYYxc8yw10nFdBKXuI8+5iTRB2M9KsmbcbymlrCcP34KeCzF4gDBiSGKp3WSdSAkWzcATTU+LFaTaBrY0lBybharjKJ59uWT+6cpSJsuO+84apzUI01ESii4frvk4FrBvufjaIKFHMiEx/OcC0IqgFNMFxtBmUTHZgpGmoUB7k6hjovlWaXfU1Ad2vKuKpmfCHGVRJVwPOAGd8AXvh/3G+iXlPFNFKGb0ypQMRwjSkV0DHkcSG2V+pYxDkrkpDKWHEM4TJNDERAfp/qq+nfZeex8EnyiqnLKwQ2jKvSOasZB0hpdgZsozQyBWAnFeAZV8nGGAxxNyDYURXW0PN4+DvAg2cS1TKQZinroqmjSuPKwO6HbEMWZb2KyUor3l9rXb/hObLyQ4YrkZ9U4+qFo0MkveJRCEzqsOK9/GdKKvDhvdHfSlAq4AzXQmDEuDJGkd3qOIZrAZ1Jw3agohN9LGK0KcoTtY+FOGeJ5fP5yo7LENK4SuK4wvM1fP+7jftJZFwVzK+R4Wq6vC3et7i7GBXQUXoeULVcckxlwBuGwyqUcZWxkJFz4y5txb13JmwhFdgc8uu3ebeVkpeEBk6TZUHmlCqrC31Qk8YjPxpBFw4rG5Nx/csw4O5j7M5REqIWS+O6eMDKOuTen8hSsCx9MxldyrYfow4FMa66OK6ycc4LM67adh3D6CumVIAHJRV4+tLob04q0EahZFwFw9VoZpmk4Vrj61nognJ/PEDHBhSsL6LKzWryodhY4SWShcYKZaMa8A00rqQhH5dxFdLFlUgUsry34BFfA7fqAyJfE6lAkFhSflzGVRfo33AlQreJROLOWSb5SK7fRiqgPE68n1SYPpu8eXy1KL/0/C+JMSe9lpR8kszXJbbGVXzvRca1AKnAuvmWJyjuqck7a/y8CVR/5T9z9hx0zz9O+UmCcs4ykUJQ51uDmGDyz1rmhCw6Z7U2qQDDg2cDH/5bf75jXNsiDDraiFQgBptWyAtaXwNUdlanEQ1IagCqWZ/T5ybhnBUUDNo4tQCvcZVGFaCKlix7mxqSkS1fYzKu5JK8LStv2dGtmev/3bQkeiyrMuDFqAKS8mMzroqYon/fh2YD6IzkZVB10kHXlkvBOUvEO9cDf+gFNNZFjymvR3LsnwcBN49TnAf6uWnTEAO/tVRAZFyF1aGAWWoGo8xkLPC/aDKyYVxzaRc8DLzws/w9LjWpQKEa10SlAgTjGkTWUJThZYFyfiOJmJNgFWIzrhbnffac+fmOcW2lmHUbsP7T6O/BpEw1UNsusRNpCpUKtJMYrqTWVFLezQcAf9s7mTqZMl4RmQUBmcZV5+wh07iaGpKywVILMa8EpAK2HZ3KUcZI4yrUwXQJ3xTUJGDbamDVbKGYuB1t7jzTpVRdeTLtHHmuOPgW6pwlkQrMf9j/W7dVnb8I1b2j8jLWKUoYV7IvsGw/St0s7BnXbBZ44mK7OsjKDh80SMdNoBe/FN0dSveuf/YCx7jGkQoU07hXGZ42qxY52MbO5k8nd87ioYjjGgof1owMtRYFkkDKPEsLBYfDavPwPODF/wd06An8v6XCwTjOWTEM168W6R1OZGioATr1lhWU+2MQDgsAmjhHhUReWI8zTrmXbd3C3LKNigWFL5Lnnc9kS2PNIhWIy7jGlQpYptdnkvtJmGjxyIrGvmKZuhAUGlrMVCpgbLgmGA5LhM0GBDbOWRW5wbWx1jBvBstBj2/PqnBYOqkAX7a1VEAzibQ1XOu2APMeNEsbrZjikKWB+MDp/t9p/ISBOI9/VzMN+es03kmwgEmwDZSMa0s6Z1H3VFKGl6WN3rjSD/qkGOdwddH1f7rzQ795cFKB1oim+twHVYekcs6KY7gKZTXWAv85R38eBaXGlZVnwLgymDLHJsxDqFzu5bjtYH87Xd1LX9klbLgmsQGBqr48xPBX7LsuLFYxnLNsO3ATxtXIOUvWaatWIAwGduO40AUOsqYDe9ytSFX3QfZdld6GcS3v4P8lo4okOBAZGx86w9XSeOLf9Ug4LJFxNdyAYNZtwOal0a1ZV83R1yco2lAqoDV0xGdkGNmC17jqwoSJqOgUo43bQNFPGBl4Ca7skDtnhRLQx7ys5L4maPDH5iEUpMOdk4F5/9GcTxXsOalAqwTr+CnPfOWAliDjCgDL34v+ZoL6GjOpQGiAVLFAGvbJBEG53G8164Av39SUKaCyi1zjqh3wBUNK9dJTz0PG8ugGCxnjautsVYhzluoZmjhnRXSJJsaYJC2VJnaEhhyMpQL16mSR0zTLu37hmvTivSqQcZXdT8a4qlZqZNeTzQA3jQM+e1FTNwiRPCRSEr4slcFmM0HgJx26rStNogpks/7K2r9Pjtbxrsn6+gRlG7TvyGcqTUwGL9uY74NspQKplKJeCcCEMbXpy2w3PvJs3lPJMS9LR68pyHEziXNA38/6GuC2Q/yNWZ74gX25Jcq4OqmADsxwbddRnkb5ArJOoUDDNc5MuKnB78jaScJhSXVnMetI5a1Lw+7Tc1f6f/llMV0Z5R0EXauFZspKKqAw8MTvOoeISF4Uk2LLPlh2dCrGNdiAQJjT/m0voHpt+Dxpp+1FBxUjxpWrQxxnjQCGHW3RpQLEMxLTFrwBgUQqwBjXeoJxVRmIqZS/wrPpc9+QG3Gspn6FMq6EoWZkuHLPLhGNa+6c+m3x+loxH/KQxWTThJkOIEoFmMbVUiqQSseYBNtAYbjGWYm0ZZR1zlk8pHFcs0LfX+BEI0lQbP2q2cC6BYbnxyUCmh+OcdWBOf9UUIarBeMapDUo04SpMQEzumVSASnjWmypAF+OIh0L/i3VuJabGas2GlfTnayyGaBdl2gaa8Y1OKAuL5JPsRhXiQHPjNZQGgXjauI9Hi0898fQcJXBNApAUxGcs4zS82ksJoBKSZJQVsC46jZXEJGQxpVnakJ6VI2R6f+oLzdkuMo0rkJUgURlKsJ5kbJ1aTVtRpaPlnG1lArMucdnmYGc4VpEqYBKJhNHKmBruPJlUDtnkecQE/AsYXBLVxJi3M+4fR+1asiPZylBAmNUbjMa3hZwjKsOzHCllttlsd6AaAdUSDgs4/ME6AzXIG8vXKZJ550E4+p50WSe58fJy9SHd625czLQd59w2nR5/pxUStERKhhTseMxDofV5BvOwXcidiK//EnWCyB3VDPqwy3YZRGqXdyMjGbd1q+ePCi8kfGQgXH7sfmdrx9gzriq3nOxPHKbV/6jOHjbxHG1YFwrVBpXKu8cUprjkTwkUgFxIuylo+nFusSVCiSy5Stre012fW22CSir4LIxmJhp06mOWzwTdt0fPw3sfiSddvZd+c+ptFn+saEy8mO879ZOnDLDlXoPJBsGiZNycWVVVaYxCjRcITFc02VARnXPZHaMY1xbH5hGTLrcDklHJwzUTPBvFOsw5qx3+0bgmcuBT571vzPDT2SLxZctzvalhTCuIaNenEVn8uFGAo/olK/R+eje8DsUGK6K+y+rizjgS50iJPl7WX8GO21rmKmwZVwp9tPaOcvWcDWYcKlYy+AaFYyrbaia0PlZw2sqcLCQGa5NDfQSexKMa8TGt2FcLSYa5SqNa1xnMwIhY1VmxHLvuXIJ3MZw5RlXjcY1MFxN+qSM3X1pEuLkGrN3mrZkw7hGtnzNnZtpADYuAR4+F3j+53R+fH9VbKmAip2WTcBUsJYKyOpClSlpi0zjGmxCUCBDTmHTF/bnyOpgxbhKxtHSs1ud4apFwLhaSgUijKskbTYLfP7fKEMRBytmAXOmAy//Jpd37sXmGYFQ3bg6Gpdv6N1qNIMmysk05LfU00kF0rnr0hlJFOsklQoYalyzmbzhnEqD1LiaGBqklsqWfbDtHFVRBTjnrH8dCzwlBv2HvxHFyvej7Yivj9TT24CRKjbjyg43SZyzph8LXDOIOC8J7aM4UbPJUzHRkF0zZYCr8uNHqfpq4On/C8dKFkEtmwJRI1a6BE7U36Q5hxhXjfzAaMtXnnG1eJ8ibcjAOBY/k2ltNK5iEk4qwCb/21bTaSOGazGlAgpfijgGnnUc1xj9BWVs8yy77v2Lcz+fvNgfy63BSAeBZaU+k6fL7kPpWa7OcNUh0LiqogpQD1w0XCVSgdl3AfefBnz+MndqzM6DdULB39yLLTZYsgMxNFyNNa4GB6kZc8hwJQZMPt8ygXGVDQyv/YHIR2K47tiS2yFMg2xT/r6myrhwWLrdu4TfqCUpVveq5cC0bhJxfQETHdUz5JebVsz0WW4Kdx8N6UOmGFcbqYCxxjWm4cogY1xXy8IfmZQnkQqQaYHENiAQy2KGHcW48s9fNVHbsdnfFnLhY4r6yTSuMoM2gb4FMNO4ijtnmehPs7aMq2C4Ktu3hHGt2QDcPB7YskJh4KvyFxlXyjlLUi/+mcWN/2kME8ZVdbo4ISnAOUvHfsvaopf139lgTNVNyGMy2HFYV53GVWu4En1RMRn4AuAMVx2CqAKUVMCEcfWEtEJD2LrC/7t9Y/RcWwQNLxX+Li4RRJbJRcY1CTmDwTVQ7Ea2KW+4NnBSAQqM8ZxxPHDrQUKZkvJrN4cHp6DfyX3ftgr4y7DwOeTzzeTva7osn0bUuEbOk0gFKMb7y9f9vwsfJ/KxYG8iUEgFshzjqkL7bnKjqaUZV2OpgKnXdczyTJ6RjZGkmmhE3qPcc1Q5Z0mXnYXfVRp5mTyAf4YhxtXkHho8P5XhKjPiTRhXeJaGqygVMGjfYrpPngY2fgZ8yE0SbRjXiI6e2zlLSa6gdKQCQVsBsGWlLIPw10IYV1O2l5QKZPOrfVrnrLhjeQzyipK7hQxXjUsTeT89F1WgVSJgXNuHf99RBVSv8z8rNa4axpXSFMZmXCWyBLHBii+bDeMapNEtdRkwa5lGRDqjTAOncd2BCCiN6+o5wPpFZobCtcOB/06LMhsmbAyPLDfrDkkFNIyr0YBEdEBG6Q0Rd8tXHn32lhsjHgpzzio648ran2EcV50DhpVBazn46iQhsskDWx4XDStt/VLR66nsqshCwaxSz1zKxEvylCGrcM6SalwN3/FCGFelVEDGohJMWSGayVBUAY1jIf88+Al4UaBiXHPHtq4AbhgFLHuXOL1QxlWSl5LFJursZcKOwVQ6Pn2s+sUxXCmNK2/EahhX6n56HpxUoDUi0EcKD+/60UBDbhmOZEJAH5M1SO3eyQYQg8czQzayRCC8bLE0rkkwro3RTiPT6G/lCuT1WTqNq02ZALD4xajBauxUkUPIcOU6/CQ0rjIdYOinJBhXArxUQIVeuyHSjvKZmDOunz7nyyG2rcn/VmzGNZg4mYbDsmALdV75tlKB0ISSOixpt+z+kzpeTRxXsSDeuVPFmoWkAvyqBjcxlrZtboA0kgrwGxBIJknss9HOWTEnguLkx1QvSbLdnMZUuhpg8l5wUgEbxhUtuAGB+Gw2LqYyCH9tKakA799g0zfYIM621xQJZgPZjmCOcW1FWPSErzMJlquFBtjAacdMGFdZWtJQiNnYWcML2F2mcZUwrqHvPCtioEMzNQ7og/4fknFt5DSuOqmAKIGwGHxsDFfScOSkAqmUua4sYrgqNK5KFDDAKMNhaaQCHXoAld1y7Aw7RxyQCMNVxrgueNT/u3ExpBMpKRQM6IbFwHM/VU8ebKUC1vfcgHHVasV1bVpSJ3ZtKuPcdHlTtawa2q1OTEc8zyRWcwBzqQCbBJW3tzAqC9G4xjCO+TFA1zaN2GiWRwO0E9CQVCBld+0iGncA6z9VJCD6CdkxE71tQc5Zhowr9S54Gc6/Qse4xh3L4xiuhC0RumRNntKJgDNcWw8eOR+4Zbxh8GqVxlXUk0pe3kSkAoLGVeec5REDi2n5hTCugSME8aJkG6MaVynjKmp2xAFLVT1C56tNy9eTm3XzS2zUdoChvMTfckuzM2/hEykqTtTJtnNUTT6yROfHo6wS6NwnbJhEK6e4/wQ7y8rjHWQKZVwfOR+YfSdQs544nLtGWVQBWTnS4kwGLRnjlc3/FaUx29b4u1epypG1A3b/qWvUOUGpWGHxHJFl5X8P9TNeOM2jFwCPc1tQep6+XjxUcVxDLHAuXVmleb/aHFIBin3lJ8BiiK+UkFYFXrZkw7imy+IbWgDw1CXArV+Tv1eysY86ZhLdpZA4rjrGVVpmblJuqnGNizj5UZKT0JioYagLCWHYzHCGqwrZJiJmJQETxlXKOHADd/CTUFaXAfq6AvkXWdTTmjhnGWtcE9w5K0NJBRroOK4UxDBfvDe4VoNrIxWgDLwmIJ27z6E4rraMa8rflu/1P0XTKLWoMRkiWR6RsiVdQyqNwMgUWVS+vjqHmUi+3DJloTtneZ76OiJbYhoyCkb3WTIBleqBs349/jYCuOuo8LF5D4oVIOokGfyzBoyrTOOqWpJVGq6ixpV7t8T+b+GjwPz/SOriAUvfBuoUjmXKqAJcn8rSlVdC3QZ1DJwENs5Z0olM7vPrfwLWf+J/LkQqEFr90TGuYlSBAt47FsKJPeM1H+VkQGvp9MrJt8FGMAVpXBUyBUA+uZdJBUw1rms+AuY+YFc/U5CMKz+J0+Qpe4+cVKAVIogByDVMkRlRMa75H+i0JozrMX80qmpkn3lPxrgSL6PqO4WCNK6MWaOkAlyMPMo5i4eoceV3gdEa1iYSAUVeIalAmeAQwdIYMq7SkDqWzlmZRmD5TMU5LFvVBgTErJ3v8NJlnJEp67Q9RNgQqeFGGAymjCtLs30TUb7CcA0GdkuNq+1yIPk7wRpt+gLYvh74aqGmGlQ71GlcFc5ZpM6ScM4KMTEK4yGicSUmxrL+j3cCqdsG3PMN4PHvy+vOvzOqDVSY/rWsnfnk1MZwtdm8RVYGf87yd/y/UqmA5JmF0lDt24BxLTSOq1i3ubmJ1/J36eMq1tOEcY275WuPYfrnzcYeimjyslHnLDGLv+1N533HJODJHxrUNc5zYLaEJB8t46qYAJYYnOGqA0Wf13wV/m6yzKxjXFVb0JnG1xMH60AqYBBVIPQiG2wLV0gHF8qOYFwZWBxX2Xujikun1fPkjsfWuGbz9zkUDiuOxlUzkSDz4T/nvrz6ez94/gbKsSFUqKQccPctRfyWqy8Lm6MyRk2cs174f2GnLFvGldX/ul2j5ZPLZsJ5zLFGxyjIrjOfQF0/Pg1lFErbnmiQ6NoTz7gyw5UyzlWrJoTOke8Dxecqm6jxjKtSP88dC+Ku5p7LpiVE/XJQbvlKGIVl5ebvuFXfJiEotGk15YlSAfG8TV/4cV8p8JPo5gyHJY4rjIAInpWinzMa81QTKqMK5vPWSQW2LKfrFTCumtjo1axfi3k/YzlnaRhX0zExf0Iuu9IzXDWBvRzImS8fcxWQtE3RwJOwNrrGBujjrzFEGNcsfT458zXsuLWDuKQM2TGR9eIjDYjewiJU90V7DcJ12EoFPC9/n0PhsCQaV88Dlr8HdOwVzofsFEw6DGIQ3Pi5/7duq+I8DSimUgyZExg3CsbVZAOC/93GJeAZ3gQ0riaTSVupgAnjqtWqa9492/JlzBF7d0xDfqnK4Y0bcXUgZLjKNK6EVEBV5of/1lcxFL1DwuLyx9Iaw9VEj6w9j/geOqbRuPLQMa437e//nbYVkfZLSgUMDddCpALimMf6Z1aGjHFtqAWeu0LIy4RxjemclSpD6DpNnxn73hzhsEyurWF7OL48NVkvhHENUHqGq2NcdaCkArq4gXz6oPOWpDWRCuiW+oPfxXBYgiEr5i9lXA2YiYKkAhzEDjrTkM87qzEs4hqulJFuqt0LfhMNV7HOAj573t8oYR6hb4p06PKak+fIZCkysHo37jAbDMTBjUkFxHbE1yfOBgS8VMCow1cYkiomXZQKaBkFw8maWJ5Sw8d+V1xrZAk4DuNq6ZxFSgUUhqv0erPCM+DYdAq8VGDtvHA9KfAT3iQM16QY1zjGMXWOdcQLPmvOwUvHuIYY7wLjuIokDWNcsxrG9cN7gHXzw8eMogrk2mXtZs3WxkGB+byNJyoSxrWshTcgWDkbuHog8MVr6rJsnqdu6+QSgjNcdQgepqKjUTEr4sssXQZWhMOKOFfJZs/izlms05bFcQWXjh/0FLM93Yuqq6NYvsi4ZpryZZCGBfdZdM7ikc0AXQZKiicMCvG5hAZoSYfA6pVK0xpX/jwWIWHl7HA+qqVssY7hH6OfTZd0WLrX/hDWBYfKlkzUUmVRqQDJuIqTO/ZX0i545yzT/eJV7J2qnbJjwTJ6Clj0JPD0ZboC9b/zS+GqCS2f3niAsBiYTJyzeGNRVQ5vbIoMrlTjKhiu0oGd+yC2X5XxklExrsQzSJf7da3dLKlHTMPVRNZDHdOVJ5sAm7QVnnHVMYI8qEmLDcS+lPkgZDSMq2wCFS0g/JW1vWuHAzcfaF5PUSpgsjrDf882mTtnxZYKaNrg6g/8v6s+4M7hDHMqH91kQEY2lKBUwBmuOmQIxtXEcJUZREkwrm/+WTAc2HmCka2N48ozXKZLJ0kzrqLh2mC+BKQyXL0s0G2w5Bhh9EUMV86pRWY46jSu/Hntu/l/t60S8qGCfouTGcpgUTwv7eDDtbVPnxXOJQw+/t5QUgEjxlUHPhyWIdsk85IN6W+pd5MN7JzG9ZHzfOZHlp8sL/44n7c0PTF4mxpK5LVIWF3lBgSSugAIPYcgL+6aTKUCEXlAnAHcgHEtb48oi8v1qeLk/drh+mJtjLe4UgGZ3pXBJqqAaFiwvouPk21yTZRU4ImLgfum6M8Fon0Hu+c6xtUUqpWA6jXQgq+X7XgXfM+9rxHnLNnELCaDrXte7Np52yAoS2JL2BquQR2c4Vr62LoKqFqW/069dFaMq+SveK5sltShR7TBvfkXf8tZir3hzzd2zvKgvL7wycJfWTLDziAyEDbKjXsRFZ3o39k5spkiNdu2NVy9LIIXOiQVkHhgs3a0VTBcKZaD0iqR5eew6n1gxf9g3MHIGOxQvirGNXfchnE10z/kyrN0zqLyESdxPOJGFTBZbjWRmIS+m8oiJOXLjKFA42rpnEUFoQ9JBYQoBbLrFTWuQRrJJI26NhOpQDkRn5V6v3XbXcZlXCPGmGG/Z6NxndYN+OwFff7iudTOhCpQzlnzHgSWvGKYjzDBE52zZP0c1W+ZOGdZG4XEhIbKV1UGkwqYMq66yDjScg03C0gRhquMBGP39BBRTyzkmT85ml+JwDlnibh+ZPg7JSyXvoCIptFJBVSzpDMfBHad5Mf5JCFhXIOyLXbO8hTHqXMLYlz5AVZkXC0M13Yd6d+B3LXLDFdikFIarpLnG2hc+XBYEsZVuu2kgRMCCS7Nsz/x/444IXqMhIFBHGLv+KgCKc7YlrEMnplzVqhKnAFP7aimqitVvlIqwILzc1IBIyiul0EmFVE6b8iuVawXlU7SL8UNh0WVE2JcRWdKE6mAhgGnytSBGUNl7Yj+mHi/tQ6uxDmpMr0BYSMVkBlL1HMQVx1qWcg3g/vEnkm2ST2BE6GKKmBiJIrnpnUaV4tnvuiJaJQJ63BYub+iltdU1sbSeoYa1wWPAi/83K6ODLpVR4qUIm0Jrl5svBp+mB81YeFjhmU6w7X1gfJst2JcRXZT0tFR4bAqO/vGGRX2iZIKiCGeGAMbcc4SZoni4KnqrE2lAqadkonhKut0K1SGa1a+NGLEuFpoXE3CYZFhiSDx5DXo4G0ZKlk68RxK003trhNaCrZhXA2MtEQ0rop2uvQt/6+pc5bO6Ja9O6SUgXhnqZWT3/cAeu1B10P3G5A3FrJNfn5p7l1Q7lClcc6qFzYFkEbRkOycJWvbnofoAKlhXNMVtEMR9X7rDFfS2C0DMjrD1YYFlBmrGsZVVR71G/+8ZGwnBVVUAaP3Uca4ajSu0rpweOT8aBqV4Tr7LmDkqUDHnpK8DccnKeOaG5Olq04AFr9kVoZJuSLI1VTJOMXAOxOT8a1lUoHSg5MK6EDtnGWlcaWMRD4d+0AYrjyjR0LCuIplJbrlq6HhqmQeVIxrQzRv2UywnUIqYOJgxtdFrC6/xCObmATOWan8vZfFtZQtSyuds0zDYYmHbBhXSfByGYuYMtiAIA7jGpFVFMK48scU+ZhqaUMZayBzzpJKhSjDNVevTZ/ry5exePz9l4bEMmVcuee//mP5MZXGVfv8Yemc1eAbRrxjZL5wlkG+PLEPfGUq8MafiXO4zzp5AQX++soqhWMGz4pBariaTIa4c4N+x6DtphVRBYyW5YVnHITDkjCuqqVok0m4zHDd9AXw3JVEoH9uXKUmNxQoNp9yzjJhzW2gNVwVGledVCCVAjm2tCKpgDNcdWCdvmqGnAjjSmhceecfCjrG1dQ5y4hBFo4lxrgKLzfFtoUYYO6YynDlNajkMeGzinGVshzMcOU6fFlnqvXuVnw3OQfQMGl8OsVrTxl8fH5pIqpAEowrn5+xxlU2OfHM26kRNEaXyDQGnw2MDH5JXVsNjeEamig15rdOflbQtKmMSJXmGgDWzBWOmWpcdRNeqi6SpIB/fcxwjcO4vnsD8MY1XDqCDVVtcEKd5/+Q/6gKYxiaGBIGjm4DAhVCkxYmUTLpj1VRBYTf7z4G+M85QhLhnTPWuErqooPMOZP1PTu25H/bujq/hXgxnLOo5yJbZTOBseFKSAWkUQXYPU3RY4Bst0MnFWiFqK/OfVA0dNXyTcRIlJxLNjZuKZqExMDjDQDATOOqYwDE+ha0jGDLuPI6Ou6YyGiEisjKZ4p8/l++7i8dW2tcufxl4bBEQ0JeWbp+yhiM1G9JSAUIzVYkSLlmAwJeY8r/JuYbOs7lV2yNqwidnkw1OIm/S52zFNdvukuOznAV5R3tOvnteN4DwCn/JOoieUdU75+4La1U4ypMHnT3kJQKKMCkAumc4brmI59pGz1FMEoMpQKhurD3z8RwVRjNEeNAQn5Qk93EpAIybT0BpVRAOH/l/xT1EBjrwE/EgiAphHGl2tH1+3CHRWZZZbhKpAKpXHQV1YSMGcpxoNVWs7E9RlQB5qcgItLmHOPaesEMV9VSupJZ0cwyKXpfZGFlHSiljePzDDYk0JwvLlcqB3sdc2KSBwcxqgClcZUtR6ZVzKHK+BaO3XOi2nCVOcXYbPkqY1yNjVKT8yzODxAnqoBgUJPLZLJBRTYwcm3QWOOqMCRtGFdZW5l5i1l5MiPflEk11pYZGC1Bno3yqBu8gWEyCefrJ3pJL3qSOzcT/kw9A9mKk+1ELNPgO2YxxvWOScBjF/ge+Pd+M1qelXMWY1xNhkfJ/Zvwo2i/K+tjKT8Km3BYIkJRIJjhajA5ShPsdVCsxURS7ENMtnwVESJyZG1c55wlOU90QrPpS72sfy/TZeHoBFQehRiuMjY5OE45Z2kmtsE9lTCu1lvothyc4cqDaix1zBnB0nAVGVfeSAwnzP3ljAG2FaZOKiDVogllix0wyQIrri90rqHhaqxxFXfOogzXDP1ZueStYHBkDGqoTAlzSuUvC4cVuk4LnaHNIMHDdGasXBoT5CZA+JrS6ahUgNS4SqQCSsaVlZcg41pIPi/9CqjZAG3dZc5ZsmV8Eaahw2ykAtmMIuoG9w5TfZlMgoRUNP3HT3LpBKM99Ay8/MdQedwPEY2rynBtBMrKaalAKH/WB8YIh2XEuEYuCNj7JODYa6L1V00yTH5T5cGD71NJqZsEqqgCRpNh4T0JJqIFSgVk6WSGq64f5Dc78QuQp5UyrmzlSTHxatiuyFdzP3XjK3vGaS6WOUWC2TCuUqlA6cFJBXg0ETHXKINDpWuKpBWNRMkSKmtHq2b7oT8AbinakHEVjQ4bqYCKUabKTKpRi0xktjH6AskYV51W00QqQOUbKVMyMdGFwwoxrpKBqHod8NiFkvopNiAoyDlLYSxQ4d90UgGxvC3Lo0vKRh01Y2iKvHOWFQwGuNC9UrGLkvoYb7WoMVxFllw2sAfvMFFHUTbE1y9dpmZl+GvPZvL5eFkuS9U9jBNVgHOMJPMlllTphNxHQ2NXPI+dy0cbEY8FnzV9gw3jKp1ocPmYsGk2UgER9dX5VSqRec0IhIpJnnzfLmvH1puccHkrVwE4kBpXjnFVTWpVhms240+8pOXqGFfKOUsgwSL5cERLK3fOcoYrD9MZUkGMayRh7m+ucQSaWsg7wMi5OQTOWUK9tBsQCIOVclnJkHE1XX4RJwZN9dG8+U7clHE10enKyoicLzEYqHBYtlEF5j0or6cK5P1NgHHVbXHMRxWQ5fPaH6hCo/mKdeKlArZOKJG8kjJcuTyMjGlL5yyAaDMJMK6ZxrBzCnWOlHGVrD7o9rKPRBXgDRhdv0Fcm5ZxbQcyKkNwPleeTTgsUaOpPI8iIngDIXSQ/kyxqzYaV+nKGziNq6HhaisV2LYGmP8QMPtuoj4i4yrmSWgyg7oI4fEoqMZrFaycsySMa5qx/ayOxP1VSQW042ccw5ViXHmSQicVcDtntU401CgOWhqukY6a+37nkVwy1knmHgVlmJGdLmE4GDOuQsdixbiaLsHGNBh0GldjqYBhOCy+XFka2fPll16CbUQlA47SOUtSP6VzljIDs/z9QsLHgsmPhHHlowpol9D5MjVpeePGdMcfE8Y1bjsMQGjPqfIYdM5ZFCJL7Basl2zS7GWAsWf739l2w5G6eNHzqfJ51lL1XomTvZCBLHv+3O8RQ9VEKqAzpg0N17iMK8XIyXwTbDSuBUUV4M5lPgSmjKtJ26vZkP/86PeA/04Dtq6Mpo1M5sV7ZfhuygxXnuQJQdNvRgx0Q5KF5ck7Z3lZYPl7wAPfip7aYGC4fv5f4KZxxKqLoXNWaAzUTGx1UgFZWDnHuJY4moVxzQKrP5Cfy3c6fMBgMn9xpi0ayRLnLC3jaiIVKIBxVR3LEIxryIjkDVfFwGIrFYhIFnhjQpYHFQ5LwtQq94wX87YwBHkYG7r8LFwIgUPttCM6Z7EOW6XvkpapGBgDxjUTTheKtymcQ+HJHxHLlgkyr6rfjbTRAvhJDcV45g9qfst9ZtfedSCw/3nAsreFU7h7YiQVMGVchcle6N7btJUclIxrvc+4ZnPlpCtoYy9Of5WljALpidHvKQnjKpV1FMC4TusG9NxNOJfagKBAqQD/+193z3+myB7xnscJh0U9DxFKokmBiFTAknEVpQJLXrWvH3seL/wc2PyFemMPChTBQDKuhOFqyrjmT1TXpQXgGFce9YaMq5FWxwv9yX8X0wodesiAUkkFVIyrUFbESUA0ljNmHQVfT91AYDOL5dHUEL2uWIwrZ1iSxwSIg4fJnvP8xMJ0y1cj2BiCMaAaQAKNK3dcvOfiBgSRjj9333c/Sl92qA7sHRAYVz7epqzePKqW6sszBW/YmxiUWucsoj6RtmZgIFO/sc+bc9fffSi9/EsxofmD8vdPp3FVbUAglh2pP3XNGsY1zW1AINtFj5pQUgwnxZqbxM+OvEvgVsrE84nz5v0H2PxltAwbxnXzF8K5hFRA56UO5CYmFm1PUp3IZFHKuKrqJJkM8lCO13xWQrmpMqEuFiQLkwrwzllSwsvEIGaspmqSQ0C5MZLMcOU2zHE7Z7UhJMm4mqYVl9D4TlUVDotkXCmpANFIKfmCMeOa1acJ6hcDFOMaxzlL1VEbSQUS0LiGtLwxpAIq5yylxtWCcRU9xakOMSQVyBmuSsbVA/rsDfQYTtRXZbjy5ZmwzgaDccGMq4FUQEpSKVZieJhKBXRLgew423Gr1+5qw5WUClD9Crd0bqSPzpVhJBUIV90Ywc5ZubZY0UGSL9Ff8br6a3eL1ivYCtjEcKXurQXj+sQP/Bi0IqSMK/1zCCHDlUUVMDFcFRsQ2LTJ4FBSjKtM4yqRCqSEflAsV9whzGb8hocI49oYQ2sbaZeGESgYKCdanqjasgL4+GnJtbmds9oWTFkxsVHtqPKXbObcE01DLsuHMgv/paQCtowrLxUIXjCiTFmdTJb5C2FcZYfS5f4yp5h3yDmLN+wVL1SiUgEJo87vRBJMPBJgXD2hwzBxyODTa/MXZuEho1GxBAVwUgEV44qc8wJh9KkYV497BwrSuIYSCX/jQFN3E2PcWONKGI6hYwC2rPR3LWrcQd+DTUv859RjGG2MhAxKailUMnFMaTSuIsNsJBVQPB+lVKAhvHOWLPRXUAeu3rxsp3Zj9J4zY0/KuKqeK9cvRAxXgXFVsddWW74KiBvHVewLwgWb1yfSfmRxXFXvpCHjGmesisijDOvB8spm/XchlQa2b+BCZlogMqG2YaMhYVy5fuquo4GHz6X7dinjKrSR6q9yH5zhWtpQhtdQzLK3rvL/zn8omp5kN/lkQoPNUIYrIUU2YlyzeUMjdC5RBxWLEE5M15usnyXKO+SkAoSUgUKSUoFIVAGNBsrz8vnz2jAp42pjuFowiSEYalwjhgz17GWMa1n+elX1TAshV7R1Elh/E2cSo/tk2F7lGUQHl0wj8MkzZuea/GbLuL5+NfDps8CXb0aNRcBnW7oNAspZgH7J85ZpXKVSgXJNOCwTxtVkspGDbkUlVZZnz7RSAa7c0OYi8J18SI2rQTSXSP/dkN/qVBUOC556FaYg56y4O2eJS+gcPn5KUh2qbxTYxAzBDvLHqQnKQ9/Oa0elYd0y0WcpS8fDxjmLlAo0+e+ClwU++Fc4lrEpIv4o4nvI1XnpW8Crv6fPr1pOTE48oGZdNF/+fpPOWcJ9vvVr+fQlBme48lCyCfxnibHJOqq5D+ZlBzrGNTie+x5iXGVhVXInmGhcKdZAHIgjUgEDVqUQxlV2rKK9z3aIgyPVcR30fxrDNaNgXInyRcNSJRVY9YEfq5TXuFJSgWJqXKlrEJfIjPKXMK6hTR8E+YpWKoA8IxEp04BxBczul5WBH9NwpZiZN6/1B9bl70XTyOqnMqBNd9tix9iGIrJQUJkmoLy9/9laKiD0BawcILrEKqsf++wR/YtqKVqmlSbT53SG7Pp0UoEQCykYO9u5TSaAaH8uy9P/Ej5WXwO065KrviIcludZ9gnceTqQGtcCowo8d4WkPhTjKox1UsZV8/4yY01VdxOda4RxzV3ngkdzMaMV50a8/bMIVjJtJmGyOgXdooSEAvydHd/+m3A894z/OzX/bELhMBmJQUkiDBnXAM5wLW2YOCUB0QbLOrpUGbB2HvDkxcDyd+m0OjalievMVFIBcgAUjMqgc5cwrnwHY8q4mjInfH4UY0y9OOXtJYyrYLge+2fgmD+qw9WYsMY8Ioyrwpi460igdlNY7C7qucRy4kgFqHzWfAQ01oG8Bun5iuMRqQCxr3jIOctUKiBIVHTMZ1ZkXA00wTZSgUIYV9Ho3rLc/xuEuzEwXMX68IgwlQrjDsgzgdmMxDjmVhsow5VfmdGtvgCcVCAN9aTWgHGVC4IVxwhkM3n238Rw5a9TjPCxfWP4mtm7amK4iveqvhqoZIaryLgKX2x073QmNLJN+f41qTiuNvURxxdKj8mnkyEI5aVYCZXpXPm6ieN6qgyo3+pvEfz+7VDe04jDUhZBOKzYfQrCk8fQ9xw+eRq4b4pQFwmZsPTN6G+s76WcjKVSgTjtsWXgDFcepkHrZRqedHk0dptWyyIMrDwboHLOEhnXxh35AZV/YY2kAiLjaiIVIIz3UMBzgdULZeHRxmx5pd45C8ifG1cqQEG1AYG0g+INV6GTFs+L5ZwloHazvyf7c1dI6mTIuKoM42CQkXSSaY5J1TGu5P03ZVwN7ldScgLl+cI7BuQH1PJ20TS6so0YV4Vxt3Z+/rgnGK68gZ1SGK58n8QfGzyeLp+PB01dU6/dw+lYGZTRKJ6/cTFXF6FcrYadY1zJvoCblMk0rgCwfX34e5YjIsiyCRYe8CdfjduBys658xXOWcVmXBnjbhVVQBUOy6Y+4hgh6Ze0hmvufVMZrlQsV10UHX5CIk5aRES2Qc2163SMe0XlG7EPcsg0AEteCf/Gh8yi7gmvew0mLkKoPQDScVEqyXOMa2kjrsZVubQkDO6Rl1U4Tml2TDSuj16Q32aT76zTFONKLAVSGi8KlIEGAI9fBPxlKF0G1fBJxrVDbucsxbIJYGa4ZhVSAQoqqYCsg+Xj4lFLknEZV9nkhslP1s2PprGCYgBh1y0LB8ZLBWwYV0nRZBmAmeFqJBXQMX2y9MEP+d/YxIzVraydOm9TRkYMoSY7b+sq4PZDgQ//nTtPNFy5PEKbY4gsLr/Swp2/y4Tob6wcQL48GkxkVIYrK5O+NPqgTiqQQhBbVrqLGnsvVYbrhvB3psm0lQqwuJ3tcoZrWuyfhGcQi+EyaFO8VMQ2jqs1i6hgXHXOWIUwrmwMiCsVCD6rHNKIstlkzyjGr0GdbLTfvBMYlZ5ntoMNjXLPv/eI/DmmzlkBnOFa2jDe+1iylBbxpIac7ZB9Z6wOoJYKiIzrl69HqxcwruKp1EtjyLgGhqvQyBc9Ea0fAOw2GdGGLyx5MlS0p7d8jcW4WnbAkagCmnBYgKBB1jGuMZyzIlpkzmlEpXHVXbpqABEd/ICoxpWPoiArUJSo6AzIN64B6rbmvyemcVUY16r0oe/McK0K14054ZgwrnVb/Mgjm5ZE05kyrvz9YeWaSgVkK0ahCSZLK6mfjIFkv4tMJFmO5NpWzlIbGCJY3xYY5pK2QBkGEY3rJvpdNXLO4vJl7F8gFdAxrjEMV1vGtckiHFYc3SbpnKUjaSAclxhGbCykDKqKTv7fph3RY5H6qNqVznClJnFeTCOfqpOF4cozrqG2I8oCeMaVk70EhitBZgFy+8cxriUOpX5Lxbiyjk62wxXkL7NopPBsgE0c1/JKOs+0SirAMy9C3jUbJLs95RIuehy4+UDiOIfdjgTOFQ1ahlTUIC9v33JSAbEM3QYEfPlGGlcbqYBkkGdlpBXev0b5i22QYNtlhiuvK6TOD9KVI3z/NQbkluVh79ykNa7GjKtisA0MVxYuSbPxIDXgrvlQnU5lhImI9FfctUYcB4n+SzQuxa18g/pxE3MK1HbVvLEcYlwl1/bO9cDnLwv5GkoFZMwzXx7fP4r9WrYRoWte/KL/11bjyhhXqcZVmOzFkQqYalwrGONqs+Ur21jEpjoU458FNi7h+jzJu18Q48pYfupEIbpKxHDVkEs8IuMCP4kroA8Www7aMq4qqQDPuPL+N/xEoZXvnOW2fOVRqHMWuaSvmVmJRkoTxbgaRBUoqwwfA6B1zgp9568v42/rt8cx0WK3rc5/Zvo0CiKTQx0Tfy+vDDunMUgNV4OlRFMwmQV/fvBZ1kEROkJZGzIZOEREJBPcjJns6GJEFZBt+RpyBBCcsyLLa5ThKkQVsF2yN5IKGORly7hSy5uBVIAZrmJAdQPGlYExYTxCO4N5+vbGoHLOSnHniPIDfgk/YriKsgJwUgHJRDGQCvB1EaQC1s9BA7Z7Easz9X7x7fSIXwFL/gt0HRRlXMWdA5ljrWxiLGv79YJUoFgaV909zDb5siuAa6sGhlFSUoHajcAdh3NJJO+Jrk9sUjCuwaSAy/PNa4Exp3O/ecCyd4CtqyXnItdGDB0OAU7/3EyMK18Gr+c11rgyxpUbM6ylAqUHx7jyiOuc9cnT/l/S+1+nZRE69EbeOYsbqMjZO8+4tuOOcUYU6SQjssCSmbDIgChB6VhT4b98+UyfxkPKuIoa19x50qU8mHXUKuj2nAcEVoullRi8NvUJaQO5fEylAtr8+XNlUQUUzllIya8zyFbUuFp28kaGq41zlinjKqYTGFfe4IhIOmRlc6AM18g5kvwiejuFxjUSY9gTjsP/LWS4pqK/8eXK3jc+PBdfBqVxLUibzSHYXIUZ2xqNa2U34MALAaSibL6XoevF9+cyhyzP8yUcDdvzHu7MOUu15Ss8ydazOhDPR0Q2kx8PAqlAkTSuVF0iutOYjCsDybgyeQqXx+t/Ah48O1zOjBOAJ74fPtdKKiCU3aTZnMIUoj2gWzEABOcsnkxgUgFi100Z42q0c5aQfwnBMa48dM5Z6xYCVcvkL3cijCsRVYDlnRF0l3w9+AGRN3QoloSUCjAWNGZ8OhYqJ5vNze64wZNcapBIBZrqgQrh9zhSAbbdbVzYaFxDzlnCADH7Ll9DZzNgFyoV0A0+ImMkMmWA3jlLd39EiYot45aUxtXaUBLSb1mR/83L+KxHYLjGYVwro79FzpG028i2xKKsgKuPKBWwYVwj7Y5zzqIgkwpQfZ5N32IiFUiXAU2e3jkrYJkIxjLbJJ98Bfl4+fqI9/LPuwAdegAn3eT/Vtk1d75kpQl+NWIzrjpmLNvoSwXS5faMq7VUgPgtsvGCrD8zZPiocZnSVQN5uYYK/HNZ/l5+JcWkbKa7jXOveMhICVX5vMadSh+SCuTaaqYBvjQgRbwLirJCKD3D1TGuPHQa19sOBh46Rz74SrWo/F+Fhg5QGK46xpXSuGYJ5gvES8MNMnEDKwedegZ4+bfA8nfkjKtMKhA4Z4nLMzE1roXMFE0GW8o5y+Mc4jZ/CTx3JfDG1Xb3VHw+nzwN/GlgfrYvZUY4qUBTA7BmrqyA/MesRFMpY1xDUQVYWmrQTwvPx5JxSyyqgIYV1eU5/Thg/Sf57zuquJ1quLwruwHjLtDXr8zEcJXUlXIglEoFRBkLZbiKjKtMKmDqnGUQx9VkqTufsfxQSCpgoHHlnQojG5xI7nmIcZX1B7nzdlQRUgHdzlkxNa66dp9p9MtOV9iVkZRUQCaRiDCuhn0CZahTjCtgtlLGP9fl70SdHkP5Cfmz8VkXjUAHcXt2WbgyXteqDYclcc4K2j7HuDrnrDYE06gCsgarkgrolks+f8WPARtaAuDDdmg2IQgtQbKXIZNvtLLzWDqecY2jdeFZl/duZD8q0lOMawf/hc40hc9tDucsESYdYCiOK8dUsvrxcW2tOjmhQ9++wY8PWbspV57mtfWywIu/8HVmwX7T/HHeiJEsk4bkA1x7CKQCwrKnCGk4LMOBcc1H+jRGhqulwUzVr6Emb4zUbeGMgRiMq24QoAxHhkjINjEt18eYMK4RqYCEcc0aMq5SjSs/ybYwXLUadk7jamK4yiIQyHYgC/W5kvZOaRAD5yyJRIudp5uc9dk7+ptKFsGQbfKfVVlF3jnLBHFW26RSldAP9O+ig5IMJOPK+kDh3EyDPj+VxExXdmC4FioVEIx5me3BG9V8jHitc1aufpnG6CpZhFRA7tm3Ho2rkwrwiOucxZAmtIdSaYDwfc50IhQU1/GJS/4i48ozOZ7nC9IbttMGhDiYRxhXywb81SJ6hxbplrWckcyDscZNO/wYmTKP2EDjqjLgCljGiZQpY9hFz234158uz2l1TRy8CMiW1UOhTaiBllvKXDff/9y4PZymqQHYtib/XeaRzTMAnjCZYixXcJy4BjGqgK0B+f7t+jTFYFxl9WMxWzNN9PJrCor3TPNb6HhW3q6p3d1Iw4GbtCkZV1EqQMV8hd5wZb9nZYYrz7gqjMwINEa+zjmLlcenJTW8Mo0r4VzY1JCfQPoH8h93bPYJBLaLV2SVTGBcdZEz2neL/iay5BQYYVFWQTu7yhArqoBm0gs+S8nYqL0elcZV7COFCBEUbGKwimMh80GR5THyVD/ijjZfkdCStN+6LXRdQvpoUeMqYVyDcZeQCqTLBCkij9JjXJ3hyiPQReoGHNkShELjKh24ue9Vy/KxIQFBKiDmLTAXolTg+n38z332RpRxJaQChTCu/zwo/zl0rkbjGokqkGONs01Auw6c4Sp0XOwe6TqggqQCJuGweMaVW/IJBnKDPMiyJR06LxUg2yAzXBWs3VOXAAse5sqSOfjYRBWgqiJEFZCxLoXAqJ3aMq6S62JtLtuYb5eh94hweCDz0hmuCkZy/aJo/jLJhrgdMeVcFClLwkhqpQLpcDqxbmIdTd8F3fsbYlyptsC9l/xyKXV9Wo1r7pyHz82Hy+J/B3yDtkNPxYSdA+/kJwNluIplUsg2+n1QS0kFXrlKSCKTChRguAbyFOFcWTjC0LkFhElkkQ50qw/afDO5+MGae8Abrnx/Rz1XnnFl9WOGa+Sahe+qejupQIkj28TthiPCgHEl9aQUu0kdJ/K2iipASAUAjXyB/84xrrH20GZ5UYyrmIYri0cFdw28AS+TCmg9O4ssFQheds6QY97O7DMDGRNXBomxFfIQpQZa8fzQjz4+fS78Xcq4SozuQCpA6Px4iEy/LeNqApNB1tYpTKqLY4ZrUzSqAIuSEc3MPP/QcUmatfPC3yPPjutjjOK4ioxrmi4/iONqIRXgmU1x0p8046qK4xpaHmWhwQipgE7jyo7zRisQvrbazUDHXlz9VP2TgVRAxrhqnbOa/LLL2tn1O9IwewpQ7blqqZhI+Mu+MqmAAYMsIiByxLbaqH/HbBhXsWwd42qa98r/AdftmpcCyJ6pTG5GSUAomSGTCvDvUorQuBYqfWhmOMOVh5eRG66kRkyASioQMHIWbCbfuKjQKirGNciDmG1RulvemIy1FSHLkjKaTMNhdch/5p+DWB+TOK6FQlz2JEE4Z/EaV/68xloYQ8ZQZLhQLKrOXnVM7PC8rH43p4hzVlowbGVsVYxwWLbLeNMkrFSQxnIglkoFcs800xiN48oYV5PA5rr6qNjySFpBmynWB5AwrgqNK6VBDaIKaDYgiDhnESs6VlIBDfhwWEZSAVm4L8k9F6MK0AXkP9ZuAjr2CNdPhtiMq4KRZ2Aa18rO4difOsSKKmAi15FMHhORCoiMawO012ATykpsVxl+1YuAaf8lOs5KpQKcxnXzl35/t/RtTbxzUSog9k1EX6W6J45xLXFkm/IDVASmhqt4TGRchQZKsp85qJyzIoyrxFuZcs4Sl215RiaucxYDFV9OxkKLul3eWA0ZrnE0rkS5Ngg9Jw3jyi+de5zhyte7QdCaKsuWMBTGUgFFx03tELboSaIO2XCaUDEmjKvgAGDKfPbZGzjlDnWaoF4mzpS58lQhb0LJdYxrRsG4JmW4Ghp2Mm0mP3BRTiz8xIjqbyJRPRhrqdG48traiFSAPX+YX5+xVMCTD/ysLH6lgGJcqc1UeENdVmf+9tduEhhXjQY/juFqrHEt88+vV3jMi0hKKhBJIhAlDNQufSKyGbVzlkpHLl0pszBcZe1KJ5vRQSRjls+k0zHDtby9z9ICwCfPSBhXSTisiCMWIdOzIQxKAK2rtsVGNpsfoHiIjVQaNoIwXCOMqxhEXLGMFjJcCQcnGePKg3TOIoThPOOalFRAmiY3wIn3lZ808NcTMVwNogoUipqv/JktIO9YIyGHIGdcrRzeJB0vv7Ww0jnLRk+b8bXVvfcUfpfVPWegiY5ntZvDYaNSZYIdZygVSKWAPnuq0zDYhMy6caxZniYa12CAkDDjqrxMDFdTLH9XMH54qYCgs6QYcpnhGgkXxaQCGpYpy8tk+P5J/GxquOomprxzlsywzAppifKXvgU8dkH03ND1GjzjHVXmhqtJVAG2kUH4RGDxC+rzMjmNK4sna4qkpALRRHRaE/lQfbUd40qVK6IQqUCQh2RSZZq3+Oxf/jWdjhmu7btxO3SWCatglHMWM1ybopNqKqqAkoV2jGtpI9tEL4ely8MvncxTM10uN1xNQ+ZIDVeKteTylC7jmWpcWT4FSgVIxjV3HfudywrM2T/iy8NNGjr35fKMEQ6LLz8OvngNuOcbvkEm7Zx5wzX3k5elnbNsIFtCY6FYtBsQZNXHeWQzvoyhomP0d+ozm62HDAUPuOuo8HbA4gYEQVJdvVLhwV9Xdx1sCSQZAhZdcEAKYCgV0DpnWUgFvngNWDWbO5eSCkhCVbG6kIyruJSukwpwRgT/mWRcbaQCBowrW+WSMqLMcGXPh1hq37Y6clqQP8PthwPvXE8VkP/InLOo86nzdIarLATi0/+nPi/b5Jctc+6SlldkqUAcjWtDjdo5iy5QXZ9Cogro8jAdc0zJobot/upjRYcwcUHmyTOuQlQBUSrgnLPaEGSGa1kFQi+DLDYe5W2tfbEluh8/w/xHncZVusRpuQFBKkHGNaiTOIhy7C4PXh7QbXD+c1zDNQlkGhWMK+GcFWJc4xqukt95xwDyeRs6CIUOZ/x823WK/s4gRooQ2/mGT4HNX4TPT5fTUgGTgZEf/FUwmWAlxSAxxlXmtZykVCC2tW3KuHIGZchwTUXTAhZRBTJhJixUjoTlLQR8aDbqXQvtFsSiCliUz48Fm78A/jstmoZvL421QHuO5bTRuJ58a3TCRvZvJkvzuefA18UExZYK6Pw/KNTXSJyzJOGwdPnx55pANjmWOioaGnmm5FDdVj8uMD8uR9ovxbjm2s7qD3IbY4jOWaJUwDGurQ/1Nb7o+dPn6AYpMq4yw47SWuleTvHFMJUKRPKzWBahIh2EnLMs9tAW60ENkBGta44RUkkFug7i8pFJBSyiCvQbrU6694nAuO9Ff49MRERjBWGmgte4xh2gZW2myXC7wRC7punEZYwrydAhX77OKI9E2MjVQ7qbFzsPUSNaBqMJVkIDMR9VIEjqAR/dl5NIUOxyXI1roTSxh4jhSoV3s9W4yhjXtIxxpRg1G6mAicY1Z5yaxnG1CsdF9C+R3zz5cRvGtawCRiyYadtgGlcb6FZyKNhIBeJoXHWMa5w+1oZB1JIWhr+LMCWHdmzxDVc+vnpEG527r4GESahHtjHKuNpIBRzjWqJgXtU16+SGKw9piBFiGcpGKiAbSMTPVFnsvImXhpPxrCBfTqQOMRlXleEdfJYxruLLw93njgrWLY5z1u6T1Wl77SFnOEJ7RPOGK+GcJdO4WsEDlr0rBDoH55xlsAFBiE1XFZX1JQjtFFKBUIiz3H+6fNOCU6DnAVtWAP+dqj5Pth0hBZMJlke8k8r0Oo2rIBV46hLgi1e5pWihbKo+6grA3tgWnPL4pUIV48r6kDFnAFd8SqcF8s9fxzJ5mfw7zTOuvBNZklIBPqqAzjlLFVVAlX+kSiKBQEzqgs8KY2DHlvD7nS7P38fdjwIuej0+4wrkGFdLw9XEuTNOfQqJKqDTuMqcE1VV0xEeux6R/6zyZyF/N3XOIvL9+jXR33jGlUHm1CdGf5GhDYTDchsQAOE9gE00rjKpANUpa72pxZeZMIzEz0E6wXDtuSvQfahQd4XGlQpXky4DGi1i/0WczQjDNcL+5BihCOPKSQVUL1IcqYDuxRR3emLIZoDnruB+oAxGzqmBj+MaV+OaaQRmHB/9vZEPfm3IuGpjPsoYV14qIOzSkoJ6sAEQ3YAA/g5rOhQSHJxH7xHAxs9ybFwBKwgMlFQgEvqtmcNhBUUzBpyXCqgMLMGI7DYE6DqAkwqIkSeYVEDGMnHtndK48gH+rRhPC+csqcbVM08byZ8iMQQfAPFZKckGDg+fG/7Ox63uuSswaH9g1QfR82xkDnGcs4B8/2wCk7YqI28KMVxlemyTOpm0Kwapc1YRGNeuA6K/1W0BugwIkyeRc0WJjxeth07jKnO85PMvITjGFQDqOMOV6qzKhEgDSqmA+CJpGB+lVEDwBFTly1gW2UwqFAye6EgCI7NM2E5OA9myIquTn6nwlzOSeaSFXcP2+gZdpnEcV5VGWID4jBki+8NTjCunDctmC9e4Vq+jfw8YVxnjKdxfIJyuZkP0FKZxregQ/j0rMX4D5yz2m+QZUBsQbPqCThtCQoYrH6CcObUZwUYqYKJXtYQ4ITVBJDSQoVRgy0r/d5GdjThnWWxAwNeF1ScUWzNpqUCZ31bJqAKFalyJ4VErFbDoc0Jl8VIBUVrFF2cqFYjhnJVWGIMyFBRVIEP/zqMhhsa1UOeskDbf1nA1fOaUxrWCkEgFjCtXno5x5Vdc8hXjPlLt2jlntT6EGFeZVIB7GWRSAdlsXrVcKQ0RAvWykzjArVsAcpk1uB5Cb0hJDdJpO4YqwrgaaFyZ17P4svAa11QaOPN+YMiEaJnMiKAcYniEBhHN4gLlxAYQz5p/PsRkIBTHNaZUYOtK+ndmgMmkAmJdxM9/3T2aNpPbwlTFuEY671SYyaJADfCiA1ehUEla+EG4kTBcdz8698EkEgDkUgEGUirQTIyr2GeZSgVWzvLZdlFOFHHO0sRxDRmuqTyzyc7LcLsZWUkFNAixqJSBwRmpvB62EMbXSipgMeDzUgHllrEWUoHKLublh8rLlbFtDW1M8Wgw2ODAi3zIfTWQM9UXQeNqMhYwSJ2zZP2eaVQBwvik8qzbCrTrHK6T2O+R4bAUjCtVx53ROevZZ5/FiBEjsMcee+Cuu+5KIsvmBU/DGzlnyQJHe3RD5zWk5DHufCnjKjYewRheOzfPKoRAzN6plz1gVcrtwmHJBrlQOWJHzOlpeYSkAgrWgX9Gytkzf/9iSgUiO03JGFdOzxd0qjEZ162r6N+buJ2zZJIFgDZcmcxABNsYIRJVgGdc+faSCjO+svtPDQ5bJWGHeCQlFQhYb4Jxbd8tzzBTRp8qP1U4rEj9ZH2BAnEMO3JSKzKukskMQLxrwj0InLMMogpQS/KZxnyeiUYV4DSusnstOmfZML7UMxWNC6VUwIJxDW18ozBcbZyzbKOuiG3l73sDjduBCZfY58VDlKYxGDlnVUuMPIXGVRfBpFy2rXsOIcZVUrc4UoEzHwC++U//MzXpptpLtimqcZX1e9QGBPnMw5939p2zmpqacMUVV+C1117DRx99hOuuuw6bNm3Sn1hK4KUCJuGwrBlXxYsZ0cRK0pIDLLFMZdIga75imeR/41mVgpyzFIwrL/5PpfRSAf6cULpyIp0G1Gx27DnhsknGVeLBydeNOX0ACGlc4w7QsriSfFQBqk8OMdoCm7FuQThteXtg3AV5w1UZx1UIds1HFZAarsQAz69sSGHRSYrt9Gs/5LLhnkFEKsC9J5QEh4JROCwxqxj6O9UkVwZSKqBiXMX8xfdTIhWQPmt+osbaB2cgipskJCYV4NhdapLI1yEkFTA1/ojyeZLDLyT81XhSLSBtGFXAhnGNbbgS44qOpVRCYkgaaVxr1EYeea5EmsBQJtmsJ8ibMFx7jwAOuixavupcEX33BgaP9z9T1yS7xxGpgGR8NtW4koxr61p8L7i277//PkaOHIlBgwahc+fOOO644/Dyyy8nUbfmQ4hxpZyzhKVZGeMqYxPWLwJe+LnkHEPDlVp6pWb7kQZLGICv/t43yPjTA6mAZTisiCMHxezIGFeNVIBKA4SfkelMkepoDvspcOhPuTwTYlwLdc6SaTL5OK7G4bByn8XJluflHPEkhqtOKqBl4Yj2Ghn0qfNsDFfhPST1hQTjqmoXUqMm50zIt3cqvm0oL8WgKkMsqYDwXrEle4AzRqiVEITTyI57bBVB8mxCzlmEMRlbKmCgcWVhgmT3mp88pxIuH1AzrjYa1zJu4qySCjQH4zr/P8DMW8LHqB0lTRE8e/F3w3BYlDN0IXFcy9urj1Ork8f9GdjjaC5NHKkA10dQq5qy9lLZVZAKxIkqkJJ8Vv1mcqxlUHBUgTVr1mDQoHzMzUGDBmH1aoMlwWZE42MXY1uNfK/4ThvngjXl6vosRGXQ9sYUGnc0oHvue8327aA241u3dQe2V1RjN/H8xy+DTCm0o7EJzC2mpr4JZdz3D5ZtDtLt1eiFyvxkzVZky+sxkvuttjGD9ZtqMYz7rWpHE75Ythn7IxWapXy4bAP2amgCM1eWbazGMADbGjx0zjQaz2jmrdyEfUP1qsLeuc/b6hqxeNlmjM5kUQlgXXUd+gNYv60WPbLAjvoseL/XReu2B9ezbHMdNi7bjD3rm0JpAOCDlduAdC0AYD+kIBseNm1vRK/c55VbGzBEOD5/dTX6bK3FAADLq+rRflsd+glpFq/eBH4D0jnLN+OA3Oc1W+uwZtlmDNpWjz6ZLOYu24xxXgZb6z10A7B2y3bwfqIeUkjFDi4PbK/djk4AvtpWh6aGWgwSjq+vrkdfAMs2bUef+gw6AfhkzRZsb9yMLuu2YQSXNut52FDdGFzv0m0ehvNl1TUEbXZzzQ70zH1eVbUD7bbXo7eXRRpAxgN5/1durQfQGNzz6rpGVNZUQbNIh5r6DD5dthnjNOkARAzqddX16M/Ka/Df4y/WV6PbR/9Aby5dYxaorm1ETwAZof3MX1mFMURRm7bXo0e6HGs3Vwf3/cv1W7Fr7nN9JouqrXVB+QDQlM1GOtittfVQucx8tnYrmtp5ofdah0YvjQoAC1dtQV3NZoyoa0ST57/3vTbVYjiARauqgjx3NDSCd8VbvWUH1i7bjN65voP1BQxetgleqgwbqusj7wcAbNjegD4Attc3oCLjocwDvqrajr6ZDMoBZDIN2Fxdhz659AtWVUETVRkAsLm2EV9yfSCAULtYubUeFTvq0aupCRWE8VNb34jNm7djUCqNOcs2o/+WegyCh7VV2zHQoPy1W+tA+HmHsG5rbeiZL920A5tydR5S3UDeLwoff1WL3TNZtAOwbls9Vi3bjF6bdoTeSQDYUFMf3EdlvWoasPWr7aF3XocVVXXYBQCe+XE4r2316J0qi20sNDQ1Yf6yzRhWUxd+D5symLdsMwZv3RG6hzw2VG0F4EWuefOODHrC7+uGCcc+Wb0ZewOo5cY3HkuqmkCo/fN51zYF/V3Njnp0BvDZV9uRLW8fjG2fflWDvYhz125rkLaZ+av9FacxABoa6iN94SdfbQ/y57Fiexo9OLukurY2ZKPUNWawcNlm7NvUiAoAmWwWOxrC9sLWuqag3/lo5Rb02lTjP+scahsz5L0CgM831GBr+80Y0b8LurQvYAKTIJqFH77rrrswYcIETJgwAevXr2+OIkOoX/cp1n0xT/rvi635GcW8NTWR8z/dsAMfLq8Kvi/9anMkDQA8N38Nbvzvp5Hfv1wvXyJdU1UbfP5s3bbQ9ym3zQz+LVoXNrx/+fgCXPnwvNBvyzbV4ZY3l4Z+m/nlZky5bSYaM2GD6Zy7ZmH5pnyed73lx7Kdv7oaaQuN6yX3zQ59/+0T+Tp9smYLptw2Extq/Bni0/N8b/mXFq7Dlh2N+GhVWNh/2SMfB59vefNLTLltJhasjor/p9zxfnBfdjTKDcF3lmwMPt/9XtTh6UcPfITHP/T1pLe9vRTPLVgbSXPd8/ND38+5a1bw+ZEP12DKbTPx6IdrsKOhCd+67V0AwOwV/vN+Zm5Yq9rkFfa6rd7gt7uXFq7Fw7NXRI6/sNC/v3e9tQRLNvjt+NePz8OU22bid88sDNclk8HTC74Kvv/19XBdV2zM3/f/fZGPRnDvrBV4fuF6eLnIE9sl93/GzJWYMXN58P2zddvQuJ1+b3gsXl+DKbfN1Kaj8NS8fDSGhWv8tn3bfxeg95JHQum21TXhvS/8umwXmvqPHphD5v3m55tQ25TC4x8sC367mXvXN9Q04Ml54fZTWx99j+atUN+Dac8sws8fnadMI2JrnW/Av/PoPzDltplYvG4rZi+rwpTbZuIfr30JAPh/j34UpF+9OdyX3P/+Kky5bSZuedNPe8ebYSe6lJdFYwZ4Zn70/QCAVz7x37NlG6qxYXsj6po8PDJnBbbX+e99trEBr3ycfzaXP0jfYxHv5fou/h+Pe2auxJPz1mFHHS3dWr5pOx743zI0ZVOYcttM3P+/lfCyHh6ds5xML+LxjyRacw7PzFsT+n7ja18EdX1uoflYd+VjH2NTrjE+O9/vV256PerM+MYnkogjAp6c9xWuevpjbbqslx/77nqXvi9PzluHLQYREt/OjCJ/31LbgCm3zcSbn30V+r2mzv/9uflryPMA4J1PV+GtT6PH38m9v2zc4vHrx/33Z8Xm2sgxAPjjS19KywOA977Mj/Wff+X35dOe/QQ/fyL/vv/6qU/Ic5+cK7+WHz3wEX54v/8ebtse9Tn4xRP087rx3a8wn7NLlqytCh1fvaUOU26bie07/JWlxqYMPlsffsc/XLEl+HzejA/wr3eXhY4v2SR/wNe88Bmm3DYTn60zcMRrJhTMuA4cODDEsK5evRrjx48Ppbnwwgtx4YUXAgAmTCC8xIsM74JXsENz0zP37o2yTB1GD+kJCG1vzwE9kC3vCOQuc/ee7YAt0Ty+Mbofjui9G/B2+PfdencEJOPVoG6VQK5qI/p1QXldY/D90Ysn5uvwYg+A67OuOWUUsuWVwNP534b17oQf7b078G7+twm79cajkyai4t8pgCMl7r9gPIY+3wHIvQPfP2QX4H/A6CE9Itevwj/P2hd4PP/9jyfvA7zof96nf2c8evxE9Hm0PVADnDR2ELAQ+PrIfui+vAJje/UM7ikA3HDWuCCvHx2xJ87YfSL2fKk7wI2XXqoMj158UPC9/f0VtNc4gEP26APk+qjvHrIb8L/w8VvP2R99Pv0EWAj84PDd0KEqAwj90S+OHg68mf/+wAXjgfv9z986YAgO3m8iBn40Ex0XpfDoeeOBfwMHDO8DrABOHtMP4PqisrKy+PIBALt0KwOqgWNH9kVT+16AYN8cO2oA8Clw0aHD0fvzOcAm4OpvjkRNv3HouqYJ4BQ85ekUThw9GMjZs5cfty/wav740J4dgjY+YVh3IGf3f3viULTb3g5ln/gGa8fKCqAh2gmfd/BuSGWbgFwoyr37VKKTonNk2LNfFzx6wkRghv5+iDg5174AYOTgHsBa4JLDhwHvhdN17dAOB/XvDSwDOrZvB9TnB7hbz94PeCya9+F79Eb7VZX41p59gzIum5TPu0/nSpw8PF8+AHSqSAOCkmbs4K6h9ixi2jf2QqZdN+BZkyv20a1DO6AOuLj8GYy78EaMeK4zGjv0wqOTJ6LnF18BbwPXnjYqyHNw90qAm0uf/bWhmDxmInp9vgp4F/jBoUOBWeEyyivK8Y1RAwEiFO9RIwcAnwHDe7VHWUMjyhvq8a29B6LzJ2lkM+1QkW3A0Xv3AT730//j9NHAU/S1bB56HHoufwEAcFCu7wphRv7jeQcNR3ndJnT6xIvcZwAY2rMjzhk+GGXzyvDoxRPRf8E8pOd4+Nb+A4H50fQiTt1vMLBAnebEMQNC7/j/HbknztnNr/Pg918NHVPhutP3R69XKoFa4Bv7DsTYAyei15I1wDvhdEeM6AUYBOc4eb8hmDR4FPCCOl0qnderX3DobpHnDvjvVdcvOwC1ao36mF16hfpzhh4dyvHodydi2NuPhOrepV0Kn3X+KdKZekCijjp815xj0rLw7wfv0Q/40u/rxDpfffII4EVgl54dyXH6lyfuC7wkv46Ju/cBcvzPnn06ApuAaSeOQlP77kG7/eMpY4Dno+d+c78h0jZz6zn7w0ulgUeA7pUAhBX/a04bS773Fx8zFn0+WxSMy3v2rgzZEwO7d8Cjp05El/tTQCPQriyFPXt3A7h5035DewK5edg93/0aen25GvgfsHb0j7B5+AkYPmsqsD5MejH88ri98aMhEzGiv2WUiiKiYMN1/PjxWLhwIVavXo1u3brhhRdewG9/+9sk6pYYurSvwLhhPdWJysqBDNCtU4fIoS4dKoHy/K3qkCaMjy4D0a9LO6BXlHDvWCHXOrXnnkDnyvJQBxyqc4fwwsLeA7pEtDodKyswvE+4cfXs1B49h/XMhbnK/77/Lt0Brl67dPfz6tZRo/8RMHpAWDSxV7+8KKJLZZl/DeV+Of27+femb+cKoKwM3TqFyxq9S34haXifLhg+rGfkulPp8vB9KUsDEoK4V6e8CH9o7+hLN2ZwD2Ctn2ZY7y5AJnrtu/UMl7//Lt2DzwN7dMTAYT2BpR2BFHDAEH8xpkdnvw316xI+Ny08A1u0z11o387tgE7Ruvbr6v82tEcHoNK/53v17wwM7Qk05Z7LnscCi19EGln0755/VnsM7hvKqyPXLnt0yLeTIT06AmX5d6S8jO5CdunVJaRN65QxccwCOlcavKsS9O+avyddc+14WI+oI0ZFWRo9O/nPprws/G6OGUh3zr06twfKK9C/Y56hGtYzn3dlRRkGdAs/k7JUlI3u2p5pRWmmekTfTkAHuwGioqIiGPjHDesJtCsDOlX6n6t9oc0+/fLvafvyMPM/uGcnDB7WE6jy0wztEe0Dy9Jl6N81+jsA9O3qv9cdy1NAthxoKsPArpX+NVa0B+ob0KdDvsxRAyihlY+eXfJtsmenSr/vkmBIry7A9h20YxaAjhUpdOzWHkin/Xux2s97gPBeyiA+Twr9u4bb1659u2JXVufFssXXKEYN7gHknkv/rh3Qf1hPYHO07fbuaLZUO6B7JwwY0F2bLsU5Wg7tRT+XAd07ABX6eyYbOyrSuXb5YTiPcmRRvl3BkpS3R892Hrku3KuLf2+ptrpX31x7bEePuyMGqcUWvTrnr6NT7naPGNAN6JQfn/Ye2IM8d0B3+TMfM7hHoFUtJ9rsPoPoPHcf3B9YydWpPNx3dKjIjbM5LXo6hciSfnduHN1vaA9gS+5d6N0DA/Y/BJgrf7579OsCxOyTi4WCDdfy8nL87W9/wxFHHIFsNouf//zn6NWrl/7EUkMQqF9iZOqcs0RP2tC5zRRVgNoRQ+adHwlNwoXDskHEOYvwXibjuCJ6r0PhsNLhcxjE+hlHFSCuKxTIXyJAVwWvF52zgq0xWeikDJ0+LlhdpJ7nXDgjMUYi+z7ka8DiHCXO33/lzlmiExIf8kfhaZ7h7umOLXQ60YgrJPQKFbdXFpg+aJOGDjSplO9AwzuKhDbqIN69WFEFqPdaVzexb8jm60LthiULh5VPQJSRlj+bUDgs5N8rLwuUdwTqEe4zVasONs+fbUCg2xBG7APjhqkjy1DcS6ttNLn2I9vBDDCvu2lUAZN3OZU2GxekzmgSL3+dJK2igx9JhYoCIDok8mDvpexdK7eJKsCNYSHnYc27QB5L5dsEGeJLFlWga7gtya4r25QL3Un0O5Gds1THIwcVx1oGiWhcTzrpJCxevBhLlizB97///SSybH6wF0H38gF0OCzWWdvGblRtQBDKv8CoAro4sEF4I01n220IcDAn3hc7UtIbnYgqkEpFQyaZhMOKGK6GUQXI55oKd0zUvWfhsEafnq87fz6rq+dxnvYshqg4qNkMZAQaOcPVdgOCYEtfLr4pf0/KhBm3KhyWbhcWIHq/6yURBc57RvghoU4yFKJJLIK7BtM4roB/7/h3PxImzCSqANSDhJe1tlujod6IcFgmUQWCiSU18OXCSZHl86GJ2MTG88tkq0KmhmuobemiCnBlkRAMVyo0WKGIu+WrCOpaqR0MTetuGlVAuTtjcEC+s2AomeR8WVxVaTz0HCo6+u8bFVVAFQ5LFxVHG1WAN1y5cGomYRiVkSS4Sb9NVAFxA4JIttxEhz0nacg70GOdKgRmW4zj2mbAGpSUmeMGA/FF+vE8BLE8bUPgRAxXU8aVYN0oVkSMoRo5nzV6ZnRpmsSuk8J7YJuEw6LiuAJRQ46a0YodhHgflOGyNOxHpNOmZu+5zpUZdqFwWNx1UYyraDTp7q0OLI5rwMpJnjXfNsRYifxWqPw9Edu9NByWYKAZh8OSoJfg35tUJ6kMSaZqF4pwWCrDlTLqpKsvGsM1bhxXPg/x/SkkjivLR8cyse1j+Q0IGLvFGykq1lBmSFUtAx75bjitjlVkdRAN8yQNV6oP5utnjBQi/SRl3JiG8kornleoWN7Qlj3flCHjKkkj24BAh4oO/ipTJJY21LGyg/uWBOPKG66c8S59top7Hky0JJDdv4r2wnnEdWVz/Qbb5VO5qkLUka3mkWHPSs9wLVgq0GbABjAZMwfkO2R+djJwP6DHsHBnLULJuIqMpSHjSgXSpl4M8XuHHsCOKs54zGmcIoaNBGJ+JhsQRHbvyhldEaOUYFzFzlSc+csM12yT3sDi46/KXk42SQnKJQzXgG3nYuECyUsFAnj5iZRoVAICky4zXBE2pCOGK5eHuNyu6wQB80E70dk8YZCS20VyRkJkowTFu5ouF5hD0bAwkQrkjEopSWgTZ5QVK14DN6lpDsY1MI6z/uSTl00xditk8Bsyrvzne0+NbhlMrTDxyDQAH9wdzc8mTrUOSTGunfsg0k+SUgHDtmEcx9XgXU5KKmA7ISvv4K8ykaRDMRlX7j7wq4YmjKvynhOrjCbnpivC95aaeLJrLqvIv3tiGr4csd9lhmtFx+jqWOnZrY5xDcAahoxx5ZffyJ2zUtEGEwwalhrXUacB331RqB+xHKia7Yu/UQwmv1ys249cVoZyy1dR48ruR+642NGVUYaraNwaaFzJZ0g19VS0jiKaVIwrf289gnEVn0+BUgEGxspJl+a4NpUVDFdqkwcg+iwKlQoYX6t43xPqJSmDLVQGa5OGUgGmcZUZYKZSAS3rRExIeRxGbGRCscaR5XFiJSQ436De6TIFI8ff69x9yGbkjKvKsJCVIRqtrFzVxGfLCn+SznZsU7YJCgaGlmozB5N3YL9zgWlb/W2IRRRiuCapcTWWCsj8Q9jfmIyrastX6n7E0bgOOzT/mb8PwbiYFnZFk600FcK4SvIsqxDKE6/L43xUcrt8KrXXCsa1gnbALDU4xpVB6ZyVCi85eZRxlmPv1nPxlFJlegYl9HLlGlyXAcBQIQwMybgS9YwwrsLyEzv+3k0+Y8RYpDf/7P+uY8rEJXWxc6XuDbVvOi9UZwixgayjFF4yI6kAS6NjXHMGp5gPY6WB/AtNMa4iEx/RuBaJcWUaV+mzVjCuKUnnG5GimEoF4mi9+Oxk0pYCoXLOUjLxKqlAWdhZTycVoFCoVKB91+hvlE7XZucsU6mAicZV3BKY0rgqDUdhgG2qB26VhFAUjQkdmlsqYK0xFT7Y+kvwSJfHMFxVUgEDw1X2LLwsMI0wzHVghquovwfyfRd1j3ROXxTjesD5wMr/+e2UlAqAJlYi9VL1AzGlAulyfTvnnatlTuJ8PUSwCTlpuJYe5eoYVwaVc1bAuGoE0h/dG16aMtn6k2JcjfYSljCukXOF5SeWzzt/BzZ/Gb0mW8Y1InUw0LiyekeMUK7uFe2jvwF2jKvW8SDF1ZE7Pvk3wPdyQU/ZgMtm6bItX4Eo4yo+dyvNmwLzHwJm3aoeKMTPlFQgxLgK9zXEuIrMosHgrGLoeETOT8pwVUgFVFEFlM5ZFWEDjJcMiUy0DLL3m+HDf0frsMcx3BeDviE0qSGM0dhSAQmYYdFUj2D5nt33ghjXFFC13O+nyLSmy+EsPaH3LRSqVRUjTTuxVK+SChTTOavoUgFLVHRUMK6K1Uz2Xkr9RWSrquyzTONqIBUohsY1wriK5aS4sacMAQEmm5RQzlnM8bf3HnS9SwzOcGUINK4ygbmnNjzIZXqW3tADnH03Wf6WaVyl4bAMv+s6WzH9PSeGv2cpZkfokJkGT2UksFlxpL6isUucSz1DbTgsIMQQi7KQQCrAS0EEg5x1mBGPdkKmUSgyDXKji9K4sjZYJnEwUDpnqfRSBTpnyRzM4oBiUnVRBSJGnywSAHLOWTzj2hhOoKr7D9/j8lek+/xlYOvK/PfdjwbO4Xb+Iie1qnBYhLHmZcMhhiLOk5ThqpiItMvF/2yoQfDusHch0LjGjCqgdOTSaFxlmPeA/TlSJMi45n/0/5SUVMDAcDUJJWmDig65qAKS8JMAfT/YfbOJ6sGvKFChp1JpwTkrLuOqsiEkxyIa1ywh7RKICc8DRp4aLpv8nAPr1w77GRdBR5G+heEMV4ZA46pwzlK+gMTDDQZPS8NVlVc+IWjGVWaYSgZq8QU0YVxVtyF0PaLGlRsYUyk6zAmDzPMzyagCIY0rJ4HgZ8aic1aIfRR1hIJOmNdHyepaCEgWHnkpAfvM/w3ptBR6PKkm0oJxNUFcQ5VaPgzlmyt/1QfUQe6j5B6SZVbIDTDddYSiOWjSUqx+/odoej4/5l2skgrAA4ZwuxtG3k/iHqgY5cqc4ZppQKD1ZfeGZFxVxqjwRZnW0nAtBnOk1BIavAPDD6PPBQp0zjK8NzrtI5CbtBUoFYgDxrhSsbSZoUkarrk2YxOvl1+tDDGuvHOWpO80LkPHuEqOlVWEz8tmwm2LJ2BCsh0F4yo+azbOtesMjDg2Wu8SgzNcGVQa16BD13Si0vMMNa4szJGSvc2hYTtw99HyMsV6BT8Lx8W6GWlcFVAxrqJUQBXHr7wDXZ7uO5C/hhTxW+hcXiogzEjZ14hzlmDE8eeKmziIMoTEDVfxWSoYVzGOKwBzjSuXX49hQicoYx4SkkXIoDNc2fV8+Xr0WAphYy00UGk0rhlVOCwN2wJE37efEHuCphXPhb/3HXpG03iZsFSA0nVGVnU0fQIQHthFMMaV5RWSClhqXHVSJB7ptF07M3n/Rk0xzw8gVr0sGNdxF/iOuPkTcn9yf7sNIcpLeAMC06gChThn2UgFTvhb/jPTW9ZX03VivgUi2EoIufkIQE/+JEYeTz6Y9Hu6PiCWxrUs/I5nM/L3hPevkL3jqjpUdID6GkoDznBlYA2DfEFzzBw5+1d4patCdjCIoScopxsgOhurXkeUF4NxrRPK14bD0rFFhOFKGlgpOj4fA2NqZJpd6XfQjl2yiUXHXv7ndl3CaSOMKyUVEBlXjeGalMZVLD8AEXaGPQ9S40osrTOEDJ0M0LE38P03c7NxxXm630XEdc7SDaRKg0YwMkNLg4rlxbTAuIpBu3UexYA/mPLlVXam0wfnKSZqgZZbGNQoqYCocVUZWLKoArIBrawi/35EnLNy77E0/q0IvgxPndZaKmDQtg69wiI/QCkV0L0DHXpIDuTqOe4C4DtPA0M45zTTZXdjjavEYBPrU1AcVwvD9cAL85+Z4arSqSulAhIjXye3kWlcZel1efPHlHJDw2PZJoJoEOopGrcmWmbAv+faMbfl4QxXBpXGlTln2TKuqpAdMsg0rhHGtYZIQ7A+toaBViqQuxcyvPXX/GdpjFQTxlWmcTVhXCmNq0QqcPjPgZNvBXY/kvuZmxmrGFdxaYnN9EXnrIABLrJUQJQH8J/JOK4WGtdUChg4NlquVCpgGLDEZCmczF8TKNtkpxl2TqgOKucsUeMqhglTgVu10d0/Ukct5MOfGxloCamAGKYutOwpSgUsGVekgHaduHTpqMaVN/JNt3yVkgUmddLkLU8kP9SLcFwphHGN9GXCc0ingV0Ppw0pHeI4R6qiCrB3X1cmhUKkAjKoGFfW1qRtR8e4ElIB2UqmSd6hw4rjqj5LXFWJSLtsGNeUfDJBMa5OKlDCYIymNePKpYn8lKDhGtlCkzJcFYwrpd8BwkwjVQ5VRo/h8uNVS/OfIzFSuaXsVEq9zVwQlkN8iYj6iCCjCkikAuWVwH7nCC8zZ8yYMK6BcxZjXAXHoOAZmLCQNgOxhHGNyE9gr3ENxYLNhOtlootLl8PsWuIyrjqpgMpwTnHvA4SBSiEVUMVx1UoFuHN0xg2low6+E4Yr32exzURUGlcp46oxXKVLySlOLpC7DyqNq3GoHh3jGjOqQFyIbS6VLsxwjfS1ivvLkHhUAYVkhP/94J/QMYSlefHg7pGJVpZBFVM0JbQzHqzN2Gw0wbfv0ORJwrjyz05lYIfKMJzckodExjUd/j77rnC9WB9w/nPA+c+b9dmAfy2OcW1FCBhXyYuli69INQYT56xwIQrGVfiNZFwJBkInFRh1qr+Nq6wcqozRU4DT71WnA6KMa3AbGONq4Jylm+mq7rtW1yNhgiOMawpK9jxJjavN4ErF7wzKFZ2zNBpX0TCJaCIlS01ST1hTxlXWSWo6y3Kdc5biPoorE6aMa3kl0Fib/54VwmGZSAXEe0kark3q4wzUpinZTF6Kw58vhjcLPTeh3rZRBUKMa67MiMbVUCoQcRpR7aFeBKmA6hlGdu3LhR4S60R9JssyZO0oBlAH46gCuj4y93s6DQwYoy+TAj/+mfYLgMZwNWBcraMKEJ9lq4Z8mp8s4g5YOnDr6sUQ0bhy3zctAd69IZcHcwzO2RHDDgGGHRwtW1ZWWYV52haEM1wZAo2rLGySpMNQ7byUJOMqGgiUYJ0Sf+sY11QK6L1n/rusY9n7pHw9UilgF0lQcB7BvUH4L9PgkTuQ5cDC9eiWko2lAprYfWKePOPKv8ykVIAZroJUQNT4mug+bXSwkUGd0riKUgFJEO3I0qKok5UMcLLBzsSZw89A8rOOrdLkr2Vcuc/K7RRZspxxxvcDsTYgMJEKmDKuuc8hxpVJBYT33kTjqpMKKBnXTuxLznBlUgEW/1hk8GXg2S5PLSdKpe3eFyMjV2W4CpOldJmacdXttCSTcakMBXbveu4mT8PqYTtRVkkF/A/qvKQaV+7ZG/cL0Ew+c/1VXI3r99+I/kaVm5Uwrib3jSpXnUBxiK8T4ZzFoI0qUODkrUTgDNcAzLiQSAVWzdacThlQbJnO1nAlfo9IBSSellqNK2EIynSPDN/8Z56VDTpXgwFDjGMa2FWMcVWwKcEEQse4GkoFyKgCCsYjYFzr/QErGNQVGxBkBalAnHBYNgySyLoXonFVGSaRkD/8Z00HqoN08NbcB9OoAjZlAop3NSV4z8NuA4JgciMarkQ9VVIBygs8wrgaSAXSikFNtqpgo3EVGVcexoyrB2zfKE9r7DlP5W2QRjRKI1KBMuLdkExKyP7HVCpAMIC694typuvUx99etv9oukwdAxzbPyIm46rUfCoY10AqoBh3B+4X/i57J2UOxjbMuohKyS5ipoyrl9E7xco0rrEmb6VnyLotXwMQAdoZyAaVQuiFVC3v23hVyqIKiL+x/bdDaajBRRiUqPA6uoE0lc7HGxxxPJ0PBdlLD8+vjkoqwJct1jf8Q/QcMo6riVSALyN3LNMQ1muS4bAYOytqXONIBThHLt2Ep6kO4XbIx3FF/jP/V7b7C2s7VFPltxD1E+c/SjvQAp2ztIarbvcbyijgNMz8YEwuDRIQtWxWOzBxhqsuHiSpo2bfCcOKv9dexr/MyKRKjPZBPE9qcsagiirAa1zZ/Vz6lv+dmmCYbvm64BH/nzRpSmEsafKOk0Zsc14GaqmA4PwossfGUgFiYqWVIRBGPbXsLXuvyXrqGFeDZ2HFuKoM11yfrNK42sRx5VecKGmG0nA1bYO5PDr3iUYT0p4qaFx1G79Ur4327/xflU2imtiXCBzjykAN7AFUxpEija1UgO0xbLL8XUcZrmn5C6ZisnSMK1L+VnDTtgKD9vd/0jFeQP7lKO9A/J5SM65B0TrGlXo2ZdFj0q18xXrBr1uIca3gXniFc9YD38qVxUcVMGE0EE1jcn8B2pDhO6UgGLfGOUtVP9HQMWEbjJmVFPDzpfn8TRlXrVSgTP49NMETDFeZMRpaDmdpBamAkcZVFaYmB5XhKjovATTjKk4AxI1ByKVRFeOaVtgtqbBUgF8JoNqBigmzGSRT6eSWnk3KF9/JpjpCKiDpcyhDQxajV9XnBYarAeMqXq+4AhT5rJrIK45TeUnrZfG8dKGjZFIBncaVzE9yT0ycs0LpDQzCY/8CdO4fdYxWTQzSguEq26yAihYSyjvO5M0ZrqUL1kDFjrCcimsGroHwOy9J0hi/QIoNCCJSAcJwVWlcpcs9KT0DRF2/bGcrHuy6p/wLOOI3QPdcQO1AKqDQr/H1U3031bjKds4KgXfO4hlXUUOIfDqqDpGQJBbLNCyNTQcvwlQqoDSKOGQzgqFjYIynK+h2IyKVAjr2zMfTNb1X2njDkmfCl0GlVbE0olQg5JxF5EtBGV+RSxMclxg3QP49EqMKhMJhcUxvkEaciIgTuAI0rqIxQRqupnFcNUil7ZaejYxi1eRDCGvXuX/0Xsn6UsrQMGVcQ7rfQhhXwh/D5F02NXqMYr3aaJIVhj9jSKn3NZAKWO6cRfU90jiussm7YLieeCN/kv9nj6OAn35G5GnQ9lidZM9KFo9W7A/EsgYfyLXv0jNURTjDlYFyXvnJIuD/LaXTqwYUMY0N4wpIjEehPHHjgKAOloyruNym2vKWh41UoNsg4PCfcfmwcFgGhquOFSQnFYRUwIRx5csIMa7l+bTkBgRCPjzjqtO5RerOGNc4zk0K5yyxblR9ZPdDtrQMKAxXwnGFhKRDNdLwqbJVGK78eyK2f1XsxwjjKobDUlbI/6MadBj4wThi8BBGDKlxFaQC4gBPGSxK5yxNVAHWb6bS0HqRZ1WRAmwM1zI7xrVQxxTW5kZ/C5i6BejSz1zjKpNgmdSP1LjqJnbpaP6UkUfpIGVpdM8maamAilBhUoE4zlkUZJPJ4B1XTHZV73OX/nS+gPo9EGG6Nbv0nmkmHxe8Avx2I52mBA1ZZ7gyZAnGtaKjPCRHZNCnmD/2m6HGVTWbFn9r2E6koRhXS4bSxPvVFDKDnQ1s33kKOPhydR7MuC0z3UkL+WeoZRNUM1ymDWw017gy8FEFbLVQtlIBHsotXwtgXD2RcTVYXrQOh2XZWVL5U45zwXch/JNMKqDyRG4nalyFDQhUVQ5JBTTXxhvE4nVSeseQxjWbl+IAXDsWr4uqg8pw1TCu/MoOf18oQ2VHFZ2PtF6ypGlIo2SQ6QscgHnDnk1+jJ2zDFaBpFIBwpDSSgXKo/lQ44uNVIB6NsxpV8xLWq+Y0g5qvE2lNYarpVSAvP8SMknGbEYzlnyG5c57CumT7HcV4xrJP5W3V0zG2BaGM1wZyIGdeNjMS9YkeDSpL1PVgXceESDOuChmSKVxlS7BpsJ52yy9aSHRfy1+wf87YF/g6N+ps9i60v/bY2guDxPGldKTUQOHbLmFG4gZa6pkXCX6J08410gqkDs3juEa2oAg93n2XX4sWlLjGpNxDRmxkg60zFQqIN7DQpYlFYarVPslpFWxxKqoArzDF4ncsawl46r0PCekAlkmFRDuZ8GMq2Zw5nXlPJNEvYuqSAEm7wiflneYirNddZzlWn7JXWW48te+z8lm9fEPyPNM3DnLkDkEJPfP1IDLIW5UAep9lmlcbTYeoPI3kctJNbEqZ71CGFexr9Y4Z0XKE8Yg5WqYY1xbDyiNa2QwRd6zOOjExLQcrA1XFeNaRqcNJ0K00YmzKKJR6pyzEmNcuXwoxphC1XL/b89do3mQ32EeVSDCSBDOWdkmeuAInS/eUxYOSwg2zyYIHXoCv9kA9BuNCALGNcYEQowkAAAbPgXeuk7TviXfGbJiiDYdkw075ywgOknUDYK6JUeV4cq/J+IqhZVUwGLgCTGummvjnZdUcg6ScZWFw1K8iyYa1zQxKeazkjGuFMNWu4nOh6qLCumycP5UWUO+lg8Qb9KvIgVc+Rlw6Qd0eQBCLJwJ4/rdF4AJPyTKNlzxiKNxpZyzpGOGpnxqHOTLiaRTwKZfU2pcyxGRpTCYOP1GytIZrmJ/YsBUA/J+0xbGjKssaoxFHVoB4+rCYTGoArTzD5IxYSb6QGuNq6JTiuySJFvSlBkjCsZVO2uOa7jG2EVkt8nh79Vr/L9sm1mTgY3c8tXkugjnrMBwZYaHIo6rWL4q2Lxs5yeWJpZzFhHHFQDWzfd3UAGg1jPLGFeRrTNgaazjuAp/TQZmEaFnI1yLuJLCl8sPQqp3VaVxDeVJgbUnA8PVlHGlwmEFO2ex5GwCJhpY1LuhY1wVhhU/8eDvCzXBUDGuNkilw/mXlQOizdJ1ENBtcL6eIsoqojugdekf1iYGx8T+PBWd6FDSoPL2Zn16cA/Fcgkpi1bjrYoqIFs9keUlqRegdnqkEDeqAKnxJO4/kADjaqJH5o8RqyBkvgUYgKb+CDqNq04ywKctYTjGlSFgpDQvYvDgDRqSbVQBadxTojwyTzHeJpGXrgO12WFKhwgbYZDPuU/4/xi6DPT/VnJxInV5kjtnxXTOUkkFxM5ALD8wUiRthtI+Bzu4FaBxFfOtWkYbOSZtA1BLBaQzf8MBSmQGjZ2zLKUCqi1OjTWuYlQBcecsg/ZtxLgqnLNC58riuBo4Z1FMGymH4TzpVfo4Pl1I+0s8x1qVVMCir0mlwu2Mf2f6j/H/8tFPTPpVE927qVSAb9O2G6CEvnLfZTs5iVAxrrKJp7Y+1P2zNMysokDoogoQjDdQAOOqmjTHNeYMGG2jbAylAqo43Xwd+u7j/2XvSShv8XvpGbLOcGVQOq9oWA4xTfCTRegPID+4GDGuEmNYtvwkW4I1kQoUhXE1xEWvAd9/E/JORbV8xRtYNgZ5iivHC3dqnsCyUfmw8jd+Fo6cEBlIiPvD8oojFQhtQMDlvXlp4RpXSi8FyAc7W620qREdHNcxrgqpQCr4D1ZSAXEDgsjOWar6JsS4UlIBUuMqvC8RZlDFuPJRAZhBWgZI+4FUOI+I05pwvbWbgMqu8rxMkSoTNK65+/DdF4C9TvA/8zt3hVY8OgAD9wcOu9K8vAgRkVJrh9O80U8ZrhKjWTU5V40RoXPSRBrCh0L2XlPl6zTCJlIB2UoT4Ms6eBhpXIvBuBpIBWSw0bjaQJzAyib20usQnuHwQ4ErPgVGHEtlovne8nCGKwMpFaBeWAmrZWJsmtbBSIslg8YAIKUCupc2IcY1Tp5dBwADx0ZnjCqQUgGLZyEOtvwysInjCv/cm+qiRoSJA0ihUQX4embq8yyc6lkbM65EhyjC2slPeL5xpAJK5yxhJUUmI1FKBRRRBUJ5UveEaz9WjCt3ncMPD+dN9Vls0mLDuIr9XCzGlWvbIY0rwfzVbQU69KDzMo3AwurEvyfMiO3UF8H1tee31+Tq364T8P3Xgd57Cnkq3s2OPf2/vXbPl6+UCnDPwIRxNXHWaqylzxVhuh2uiWGl1LiqopQQkPVrex4HXPCyvG6Uc5KMcW0O5yzjfJubcbWQ/XUdIClLtCG0tWt2OI0rg6lzFkPAthBBnSPnW9aBNIIN8qK2izXpHHU7vNheR1AflVTA9m1QMMYiTJyzqGuinLOCtMSgLosCYdKpyMDKLSiqQDZ67ynD1VQ3pdqAQAbVFqEUbJ2zqLyVGleFty21NzlVP3EHOFHjyuqULosOnkGZkg1GeFCM6282+PkufIxLl/vLGw8v/zY80eCZXrI+QORehjYQ4AxXFeOaltxDkvkD0F7CuGYsjI5UmnbO4q+NN1x1jm1+Inl5fUcC5z8PDBmfz08lFRh6EHDU7/xl2drNdP1JKMiH+mrNuewcheEaVyqgHTssSAVVnUzqxvqXpDSucTbhMUFijKvYV8uereQ6VDrlaCaa7y0Px7gykBIA4oVlnWPTjvD5hSwvBHVQaFw79TXLI9LmDAxZ7azZsOGKxpbKk9mGWQGihg2ZZw5GGlfqmgjnLAAhtsmWcVWlo+4BmzhZBVZn2eXymzMdaBTaJzNmEmFcDYxY207aRLtsdVzDuFpLBRB9JrIBUvcO6epORRUobxedDFC6/BXv+bvqRRhXVVQBUSpAhHzj93KnIJbH/05OxCXtW7UpCfWeUeGwUmmgMRe1JGS48uezd101eSPC+Q07mGsHGsO1ogNwyOW56AdEnyDrk5RSAULyQ0HFuEonLbp3OQHG1ahOLG9dVAHi/qfL42tcTSURSoh9epEYV5OoAiHZgikhgMIM7GaCM1wZTBnX3Sb5f9nMN5KWg63xodo5a+8Tga8RIVXCGRgYqpRUQOVpDvOGvNuRPsMQVEex7Gqtf7V48SipgCm7yMoyYVxlbDt1j0O/K8pmziSFRBUAgK0rwocaaxFZsowM2rJ7Kzr9FaNjkzCue31DnV6andjuBWbIWiqQij7nbCN9XMfYyO7z916O1sHEsFLpt00YV6VUgJe3KAwbmQwmVRa9BkA+8KoM18hmDALjyt9/trOgTCog3YFK0y+EvmoMV93vpkuycUgR3U5nVB10UgHSoNMtTUvyMvldlTe7PnEcKWtXgFRANcYY9nkRu7WZGdfQygfhj2F0HZYkQgvAGa4MqnBYDHufCIz9djh9PnE0z/bd49VB1sntc5JBJppGpwvOTzZS04brCTM+lVQgJuNq8lIFnsQqY0HFHgmDtC3jaioVoIx35kwSi3FVTBTqcixcHMbVP8h9LEJHJhr17B4e+2dNeg4Uw8AQWQrk2hPl/BIpj5icZAQnJNPJlW7wVm75ykHqKIpoXZQaV5FxpZyz0ornzt9D4j6RjKtkyVjFllGGa+g94QxwRix06B5Oz+CZMK4CqPdFpXHlUUhUAaqv0rUxHUNO5aOtD8WKpol0mvKm/As47W7hdx3jKr7PuXdYbNfpCnPD9ZAr6PyTWD0l8y2g3+zYO/zdZFWP2pLaqE0YtL8WhjNcGUjGVXjYnfqGO0JAzZIyMb9tHeK+JCqNq6yeqVR8fY92QFIsm8SNOGBigJZVRn+zGaDEcqSMq6QOkRBGMoMmdw8m/zb/U9EM161RI0IZakmACWNYCGSstdTI0+Wnkm8Igwl/TCUVCOUnDpB8nprIHNJdb9LROphEFVANtFSeQnUiN5PS2KqiCqS4VRvqOerYNB4i43rwj/PvM8m4SnbEq9vmf+bJgxTR/5jGMhbPD/IR76vs2RYSVYB4F3TOprHeZcXzpeol1sNoNawMGHUa0HO4kI+mjYjPKdiAQFgdSJeZSwWOmpp3ztMZ8LEN1wL7yv65TWqGHyrka0COiNE9/A/2dXCMawlDteUrz17IWFTq4XZI2nCNMVsyYdW0HaKN4WrqvR9XKmBwD1jIFZVUgHTu4Q8L9yRgXKkQVoYGoKyz6TYk/znYUrgAjSsFynC1YaFl6RLr1ITnqzNcVRpl6ryI0SMZvGWMa2RyUk6EfVIwriaGf9DGJFEFxHpQW3iKeUkZVyqtmC9XvpZxFVjb4HzJecZSAf4d1jCu/DXXM8NVJxVQtAsdbKQCScRx5UOI6Zx1Vf2wrC1qCQodK2ohFTDpM9OKvor1yaFJXjr6XppCa7harDqGT7SvC0PP3fzQboC/injyLVy2BmOMScxxOhObWrYInOHKQDGuDPyMU2RcgzQJMK7BziaagU0FXYdAMq4agb2NLonPa/z3o2XFRTCHkLCZPBhDEzIsbJbFQXRkBOMqZbFlTIrBc61gjGuccFiWjKuxxhUojrFKlS0arhoWiIcyjqs4IeUmpSHD1XCzkHR5VOOqHBwEY+HH84DLPhKSMHZUEcCfktuonElkjGtTPZEnMTnjw2GZaFypeqgmuGPODP+eaQQ69yPqhqgxlkrREzyeceWNPfLeFcC4klIB2T2y0PlGzs3dPz4Sg7b/ihE+UWdIU9fGduQzqRNfL8rZSpaWTE+Ew2KMayzDtUw+xvC/VXaLHuOhiuMqgtrym6HHcOCb/wQqu+R/2/fs/GcT56y4jKv4nJOIx54wnOHKQGlcA3CDaUUH4rgEA8ZG4wSa1KEgSGbrsuOAftYsW7ZWDUgHXw4cf5287LjOWSa/M8Y1NDgbGLx8gG6RiVBqXHUst84Y474zgzVpqUD9tpxtpRioVH1aHKmALXsV+suYQoWzVASqnbMUS6Ihw1XSLsVrKSuX103n4JhKAz2GAT13pesRiiqgCNekikIS0bgKdW2qi5arcs5SaiZT3DUTAzfVXgbs6/8dPSX8e6YBuPSDcKxUBq3GlatP9138j+0lhmsgFTDpF7h8xe+JMq6yiUjuOx/7VmeYKhlXGbuomyQKxw+6DNjnm0Q6BYL2JDxLcVc6IHwNlFRAvP/FZFzZtV/6PnDR6xb5Ko5d+F/gFyvoYz+eC+wibMgQ6kMspQI2zs2RSpee4eriuDKQW77moJytKDSunfsAux8NbFxsWgl5XtLyxSSy5V9Fp6jbOUvG/qlmplojPG44LIMXjzGuyp2NNMyKCeNqHFUgB3GQ9IjzA8PVkHFNpfK30kQqEKqPBdsUOib7LMBqciK8Y0MOBNYvCu98FEpuwZgDUcY1ZCjH1LiGykuZt1HdCobKOYsyvsi8hDzF62qsoxLn8uUNZ51kA+H3JcI48WGZUggaa7chwLSt0byyTb6x2bkfsGmJfw67ZsqIl2mXT7sTWLdQIBooo9+GcSWehXFUAQUrHj1Ap+vYy+Bcdpzox0ccH83fxHlIpnHt0MPsfB6sPZULfgiVhOGqYlypDQgY49pQD2topQK537r09//FyVdERfv8CptRXvzqg8EEKRJnGmbPqAQ1rSKc4coQzMAVTJeu8xbRvrtdI9BpXOM0OhOpgE5gL3YyqrQqw9V00KULi+ZBfQfy9VXGhNTcS7EjC+x/A+cs2eRBxrDwYIOzMePKl60xXMXVAiMWmjhm2qaZVCZdISyrU/kLdTnuOl9qIpPbaKUCwnG+Q+/UByFjLdQuTQ1Xigllz1nnOKMxEFThsKjnrXoPKWMYoBnXIFtq5yzNpCbIg2BceZ0sq4c0qgB7Z4n33UaP2r6bH3NVrEsAiXOW6TvA6mhquJL5Gfbz7CtvuJrEceXxy9X5SaDsXVYx6qG/smQmUgFmuAoGW7su8rRU3Zh2WpQHpcrM32H/JKIsxfukRYIaVxWkbUcSDsv0GVJpnFSghKHSuIqd6PnPAd95WkhC3MrKrhbOSsgvERbCuOqMKHJ5n+ggeAPeVCrgefnyycZuaGSRZdkwrjm2MqOaeVsYPrYaV2moEva74hmxuptumWqqz2zcQbQFi7Yp08KpBvpRU4BT7wQOvMAge+EdK28H9BtpVp8AKsM1dz93OxI4+Wa6bEB+DympgOw4ya5J7l8oDcGOquI3qpyzIoOPSiog3HvSOUshFVAyrpxUILT0qzFcqfedkgrYgHrONjtnUe+taTgsMjvL+of0uppzxXZT2Zlrs7K2qJlQ6X630biKk2iSceUnLTKpgOCcRT0TE/C6d937a5Vv0iaWZnIc0rgmxbg6w7V0odK4ig992CFA373FRNHz0hJ9l64OcRu7cstXmeGXop2zeGNVtmx9wt+iv8mYl4JhMWMsJ6QCkex07IHQuSs1rgaTA0Bh0HJlsXttrCM1NFzJzSlsWGc+rWEnnk4DY043NJBtGAGxPjmYOGfte2Z4iVOUhRhLBVRB/xUaOelx7ncqHJVYhvY3gXGNOGcZSgVMnLNUjCu/g5PKCGWIvLMK48WWzaLeFVXbHHaYcD6x2hMJh5WE4SqUw54db+zFkQowjDiOLkvXLqMHNN8VeYmreJTGVVU3UiqQiv5mUzeGQjbhiUzcEmZcA2LJROPqGNe2D+lOKoDc6EOUdes+1NduXVUlP0dXh0SlAjoGNgVSS5Q2MFzHnA6MPp3OnwwbxTMedJZSyGaM1D0JGFdbqQDnnAUIA67KcDW4x9TvnlAekGdFTB31TNhCWb10hgC1/bFYpgls2q1x3jrGVTKZ0EpYLMJhRfJQsCFJMa7UdZNLm8IAJzqsUI6LweTMcgMCLeNKsaeacFhUe9BJBbSTZv45G0gF9jgK+NH/iPy5/AqRCphMZIH8PbExXFUrfQdeCBz602g+WqmAptM2ufZgC2NBKkAyrnzdqKgCqWg4LBnjarqC5Wckr4ctEmdcWb4G8YKpnbPi2BAlaLg6jSvD914EPn2WPpaKfIC0cbMXM3BqsFiOLTiOq7g1J5+XTA8nY1y531SOQjIjTTvrjfsyGMzyTTSuOucsID97DzGuBnFctVIBBoVzls4I/fZjwID9gH+M4bJTeeBzMo7gZw0DG5rQyM5LiFEIyjZlczVdl4xx1T2/rKFUQDUgkYODDeNquuUrkbf4W0piuDYSUgEGasBLl0nKyZXF2jzFOFkxrlQcV1YHzbL+6fcAc6aHw2mJdQmgc4TNQebcxfIT20sxpAKMhU6KcU2lgHadiHwUExNAzybaaFzFPpJiXFWTvXS5f1x0zpIxrpHwdVTdZASV5L5894WcAyGPYmtcVas6wu9UdAUjYkBM4wzX0sXAsf4/AOjcH6hZxx3UNBZA3uhjMa6FNHadcULUhwqHZcK4AvLOS2d4JRYOiwCLKtBUgHMWIAy4lEFOMKb8eSKkLEgMw7VDD6BTr3BZKn0mKSMpIKRO4rBkXMuJNqmUCjDDSnjHRKmA7r5XdAQaa+nBTSUVMGJcc2myiqgCJOOqYGGZsRdhXCnnLMJASZkwrnweiqgCVlIBiqXVMK69dgOO+SOdr5hXkKdmYqDSLqfSBUoFDPoDIP/syhNiXAG6rVoTJnEMV0m9KjoSaXm2ndJ6p2iNK7VqImtv/fYBNn6Wk8ZZjuFDD/L/qZA045pK+a+YbgMKgNa4Gsk5kja2k4eTClC46DXgnMeiv6seKNU5U99V0EoFdOd74YDFJvURB27WQZQZOGdRlTJdkrWFjVSg3EAqoHPOArhnyhklfGdgvQGBZAkmxLjm7rV22Z/w9pYarqZtk2CzRaNGLDOW2D9mGh7Utr4mO2dFHJpEw1UjFbjwVeDoPwgaUZgZptrjzHC01LiqjFl23U2CoyKlcaVWS3ipgInG1fOA8T/gDqXD71GQr6lzFpCPAGDjSCWppwhtnin1sYhUwKJOppKwgHHlltd1k2DtuEMZrrKJiWxSYtAXR/KSpCHjo6sYV0k4LFE+wKencPItwPdeCu+wpluJskHiRqCwkqIqL6mds0pQKuAMVwrdBvn6Jgal04VEF8lgMjMKstIxrgaNjg+ZYlSfVL7z5tkRvkOXhcMCiM5LxbgSS3XGkM0YiXtCxXGNZGfxAms1roaTFWoAF9ObMq6UMSoNni8pV8vKcNctNcziLD3JyjLND/QqQOj6xXssMK7hg/mPOuesfvsAB18GVC0j8lD1EyaMazpaBxON657HAoMPpPNi77toaCsZV4lzllLjym1AcPy1+fBGqTSXh0FUgYmXhusScs4qYHtWWXrdxEBl2FFGUhKGq/iMmTFvwrgyIsK0HqF0iudrlBdRp267hL/L+hyScVWwwUwqkBUM17QkHJasvbXrBOwyQV4u9V2FSB+csOEqatdViM24Ct8T2RgpWTjD1QgGDz0wDhTha7Qw1F2pzpd1MjJ2EMi/BBUd8sd5w0AZDF8wRoslFYjFuFqGwxKP8cYhqd2VbEAQWdZifw0GqrQh4xpiwlh1dIarAfsuficNygQMhmgii7SgpQKh7IRr2+0I/y+TA9lKBSJsOcG0GUsFNMyWLePavhvwnafEzPIf0+VRw5VfjQjaZ0KMK5A3mGVRBaiNXqZtBQ65PFwXajUoKNaynzSRClA6VtX5hQzqpqQGqXFVMK4mfhUqeQmVJ6A3ysQ8f/YlcOzVZmVQjKtSKiBjXCX52zhnFWK4UnGME4WGceWfEblzVhyiofQYV6dxNQGpBxJfWkTTUN+NyjNcQoqTF2WssJe6vH2+DF4eoHrpIwSoqVSgiFu+lplsQKBiz4U0iTGuYhxXlVRA58FLGK6yexpXKsAb7LbyAFm+sgDhts5ZtlKB3SYDv93ItWuJQWK6xWwknWSQ3eebuR2LbBhXwnCU1YOlySoM3HR5VCpAlctAbfmqZVyFNs1P/qj2ZxynWMG4WsPAWItco2LClkorpCUm1THs57OE4Sp1AE1batMtJlRaqQBxL7UyKvjSkm5DFOUS5zFnQVPD1WRDF1vnLBMkLRVQrv4CoWe06+FEPUwYV7GvKz3D1TGuRiAG7469gAO+C0yZnjsmWwaO4eBiuoQkImA7iCgB0jy4GXp5+/znkMOWAdMsptVtQBCXcdXN8oHC47iKkxAp4yqeoMlbHFDIcFhMKqAZENOiEZyr28D95PXTDTSR0/iBQGJ4Udd6wStCPhZGm2lHTw1EIaciMf9U+By+PYV0YQUYIlThu04C9j3D7h4oGVfqvJSajUyVRRlXMlOijQeSA1VUAeTLF1d2YhuufJ1S9Dnsnp54I/CtezT5gW5bWsY1LT0UWaq2hSmpQTKuqkmERdzkgqQCxFjy3RfVaahrPv5adRhK6jxS40oYyqpyZYhss1yAmZS4xjUH3eTkwIs42Q0QmkhqUfqMqzNcTSBjXE+8wde8+T9E01DfzQqMcQ6H/5uTZ6RM6sNeVJlUQAlJx5S4LsZiqYPVXcUyUfdYFu5Fy7iqWBruuwnD0i6n9SIZRf4cwtDzsvSgJWNcjTyqdQMccR+HjBcrkP9biH6bB6m75p6f2H6VmkCubNNwWAz7fDOaD7m8LWFkAeCU24FvzcifZxtVAFAbKxTjevTvuXOFtiRbVVA9O5GVoyZ9sRhX1Tm5fA84Dxj5TYO8KMNVFxtW1dZThfVzpqQGGVWAOPeXq/06mTCu5EqKZqzSrgKlgaETw2XY6uqpOlLnsZ3cSk0qUGyNq6kB2rmv8Gwtxk/HuLY1GDCPheqwVOdoG12ugfUYBux5jJCXzAOem6FXtOeuw2Bpha5kuDyxLLGuxtlaGDxJ7JwFCIMvYZBLowpYGhf8+XseB0z6FTD51+q6kRrXLD0wiIbrOY8Cl8zWt804jOtR0xT5cYYweQzy4yIowz4UOF9sv4rJRegeWjKuLP5kyMBSLHGKaQF/N6+Rp9CGo6lDkoolSguMa3kH4OAfE3my8gnJBT95E8EzXWJgfynjqjNgCBmNbqKlBZFeFgEk+JqmP7PyCzJcDft50w0IKjuHn4VZJeTlak/VsalEXWxWIFX3PpAKEOGwKJhIBWRlmdyWH870t4KPo3G9+F3gJ4sM68ZWHyT3kU16pWSKycWUPuPqNK5GMJityLQnYgP7xg3AqtnA3PsVecWUCqjqJc07xc3ouXArlPOELn8+VqhuST32LE7FiORgsnOWjXNWuiz/HI2COkvqGElHSAXS5cCk/6eoGzuFMAa8LD3hENvmHkf7fxvF5WOireg0rvxzHP0t4JCfyMunBjK+LKIKUugGIh3jKquTNKqApGJsx5+ydoi0G4Az4AyYLROpgOkNEg2+uu3cd00IKHLHHZXBwRuuQrgx3pjgjWtjBkx4N2THjLKiVpsKiSqQLkxaEpEOBRmHf7fZgCCVNmQ1LRi44B3XOWdR75hBfy2F4p1JlyMqFSiUcZUYdybGJ1t5/eI14VyD6+0/Sp8mn6G6TrKtjB3juhPC5KHLlmPF7+O+C3QbrCkvLuP6/9s7+6g7ijrPf+/zJCTk5UnIK3kjIZAQkpA8CWGIKCEBBcJbFBAQNLAS8G101IQVENBxZmVdHY47jKsyOO6sMoPD7JwR9HjGneMyMoOAyxHiHMUXBA8CQ8QQJAkJJOn9497up27dquqq7uru6tvfzznPufe5t7uq+nZ39a+//a1fmcrSHPCt1shJPX3JyEAAa8VValM8I8vhR6SsV+AEBPHvFLfFtEwXOquAcGHuClwds0BoB1SktUu1joXiOnURcOGd+psqJ8VV12CrxnZe5MC1pXhvWXaqVUBWKk3nlBiIO1oFDhMCV6WlSGEVSAtcTemwTMfH1p+JCwpljOrOsKFTZ1X+9NHCDEsuvkrVTZ+LVUD1NMNnOqxzb+t85pBVQKXap6VPM7bHVnHt9MniMW/K4+qUVcDiuIzPq7QARj4nVceMk1XApHZ3rAJyOizb8QXK+nRBYYbrrtim6cdnX7+nvJQbyfhGSrsNGRRXOTd8ADBwtSLlLqdrGRurQMrBk8VeAKg7Fptg5Yj57QkXzvkscLATmNk+WpE7iqPWAhfcDpzxCcWymjIuvyd9cIX25kFT6KYvAFd/11Ce4TeWOzBRxRAD1+RCaqkqyHWqBmfZdpIqJS861P3/G94PrHh7b2Ail5FUrfptUy5wTnfwLeDyb6Sowpbbr8zjKrwfGN0eGJWUb7gYycG/C3E7xPZ0TZWrUqxTAhbjlK/Cuu/7AbDpf4z8L06baQr4tAGgUP/Q3HZ6qvgGwGTzMHlcxe9cAlfRKpA8HrW8GdHSKWf+m4CTru6UmXbzZhikmtsqYHmsx2KCaI8xHUNOfs6W+r2SlKwCPTeTLcVv5rDPTDYR7QQEeRRXRb1xubaoPK7v/g7w/ofsyzASnwspVgFd3+7SX89bC7zjG8Cc1e7NLBgGrk54UFytqvFgFehRLDQ5R+MyF725/SgqUVwzPMqLy1+9eWSQkW5Z8QRffKbd4ApdfSpWvbM9BaRtOXKbAClwlabOnLOm/Wjcqmw5EDZsQ17FtSsgk5dJ65AV36dZBewaO7Le0acCF96hWMRCEXjPAyMJzZWDB6XBWWJuU1urgC4QScuRq5syUjU4K+3GxnZw1sylwKorhGXFbCKmi74mABQVV3l/DAwa2i38hvHvlKg0gn3IyeOaFN7rmxW/c0F38db9boB03Ci+y5UOy6CaiiSKq3hzZLhGuFgFbG6aI53iKgeuY6WvFTc74ja/4Q+Bqccamqh6ciGWDb+B65v/uDuzjqodrrQG2k8fZ3hSXVMVV41VwHZQl7js4GjguLNdW1gKDFxdMKp0uqAkS+BquEC4Fyb9q7uAd4jv6odmWxaf9RDKOgFBxup6yrP4Urzgxh1BrEifcYugSqcoEcnnujyujgomoBmcJU1AIQcMafu+Zz1RMdEFXsJ7Xefco2Cr6rXY7qE5wORO4KqyCojZDHqsAhY3nYA+EEmzEIwa07udgHDzYKO4KuwoVlO+dtClwevJganziorBgBTktQag30etkQA7/p0u/wZw1qfbdp1MimtctLCO/BTItT+0mqLZ0F/6fISsLC/+XCo3Ph6sFFdD8JZWV5pVwLQuoLiZTFFcz/ov7Qw4NugGnfYMztIEdDbH26orgJte8DAI0NO6JnRPCnTTxtsIAyOFZG1VaTBwtUKnVgro/DGpd7+KMn0e7K6B9JzV7fQ8Yrocl/Jtl3U2fBsumpmweWRisArIj+htyk6bX9wFlYoqK65ycGt7Qeua5lMRbKoen77po8AbP6IrsLetPWVaPMpqtUYG3MkXyVO3AquvHPk/NR2WUJ/NcakNXGPFVahP3M+mLA+9X/TW5aIyDmgCsB6FNUVRig6O/CYqj+vsVcA7/7ewvqhax5lN5gNv+EB3+Zk8robtcD1vdFNqm3JWm77L20+Pn263nOqY1waucPNz2jwJSEjzuCoUV+frobi+6aahU75tHteskzLo6tZS0sxZWnW883vo+g2XQ7aooNsDzCrggo3iapMOS75g6x5R966Y0sAsHldFZ7zyspR6BMYM2S/bVVeBExA4lWexjBjAJWqYIXDVXeBsFRYbXBRX28dEiZdwsG0Z6VLZFAGxyOxhC7+gXJahrTp0gevQbCnIkdW5vFaBtMBVsAocPln4PsPgLNcpX1XfGT2uOv9b53/RKz1+Wm95g2OAY98sFiC03dAucVtSB3+q+rK8SpjKUy6Xawpa5PpyXthHj9V8IZUbWwUGUgK5eF3fExDYigw90zC3esv0qQa3BrptNUargEs6rNQP9BSdxzXptjTbqUuH5aK4BphFQIaKqw3KQTQaivS4ZglwErWj05n1XLTci+xi3Tbg+PPd1/OmuGZFVZ6DxzWL4tqjbKUsb0L52N00Za2i/t5Ce8tOU1zTFICudU2qqqXimqRuS5mgweWxsnFfpnwuKq5xkv+pi0a+z5IOy3XKV2VZYhCfonrJ+0dU7mNV8LW9QgCquCgmx4Th5jmLx1VUevN6XHVWga6A0BDU+rCBAcC66zo5PzXI9bz9q8DR67o/02YoaTmqi+K6KVYB3QQtMTaKq9NvlnbOSKJPXo+rql5t3bZFFaS46spN9bg6Sa4uDSsVKq4uWHlcTf4pD/WYMGUVSEYHe/ZpjT68bbL/6X3py/rwCvWUkVVxVfzGPY8nhU6iJ6tAq3c9ua1yG3vqtLCg6LAanOUauCrWUz5STHmK0PultIxiWStFoKVXXOX1UrNiCG0St0eX3kjex5ff027LS0+1/x8YBez8Vfu9OOBEGfgXpLh2LzjyNs0qIO+fKBoJ5ibMaL/u+e3IYEdVH5K03aCUGh/7S6isAnkf1WutAmJbDHX09O1u1SecflPKAlLBSze1/7oWMUxm4pQOK+UzwJDHVUKeFKSr/xA+s8XKKiArrpptcApcDe1wXreg4E+7rzTpsFo9bwxQce0TLPJ16h4Hpw5EUXUgWa0ChnYlj0ocyvjwvwMffcKiDsnfpl9QeO/p5CjEKiArj8LFIBSPq27mLNWF1sY/2tUccbsVgZdyOywUTdO5YXVTaAhcUweKaNokP860VVwXnwkcf97IugOjgFdfar+fJiiuukecyjbFimuGKV9NdaSmw5KfBIiKa8cqsGeH/uZC5XFVle/icR1ZGdj0F8CMZYp6XS9fFoOzjMGx9J1xSumCMfUlaZadeLmuV/m9DfINgOpYlZdx8bim9DmtAYesAhnrBRx/FsuBuplJefqrS4dlaxfrWiVcxZWBqw26O3UR+ZG8/HnXZ2kHhOb7LOb5Lg+eoj2mMifPA4ZmpdQJZJceXLBR5BQsODWlPFOVQsAUdwTJNLKGYEf3m6YFLC44Ka6WnZa8nO5CkJantHeF7ldXq4CYLzfO6qD006nWsSCPxzVWOAZHA2/543b+4jlrhHYobBVlKK4qa0dcfs8EBNL+6fK4xorrizDvo04dpqc+WQLX1gCw/CLg/Q8q6nVVXDUXfdMArK7qpO/2/d6t/qWbgEVnpS9n5b832MmyPOUzlRlfV+aeBBwmJKNPa2deq4BOcU1uSlvF5HE1tSONoj2uySHsaBVwES/oce0znB6Hdki701OVGSs3ujqckBRX31YBZZm65XLU5aoaxrzrH4GPv5CtLUqPq8L8nvbYuicgjAOEDFaBmZ3pAQeksoBexdU5q4AcWCkUE7FucR2LYnsfV4nBleHGRAy8EsU1xeNqe3MoX1zjoPHd0uQVusD1oJD3eOKRwKkflTyTDlkF4jbLA05U7U5D9Vg+8blrRufH67y+d2R60elLgBWXAed8Tn8OtlrCZ74DV4Mq72wV0Jxv1oGetN7+V9zqv+R/AVf8nWEBl7EUumVadupiFqvA2EnAh7d312WuJMdvLZUfr3fax4Cbf9v5zEVxrcoqUFCIpd1XmnRYmYQfKq71xmZwltbjahksiMxd0/uZK3In3TUDjmesi8xTt+bES9uewVGa0buq9QyDm5LHuArFdfYqYMl5hjbFF3xNHleX32X1le0ZjeQ2AhYe1zSFRLGe0qPpaBWwUVxNbcxiFUhDDJS7fkNNcKMLXJNHcxpPrUrN0yryguKZfJY1WFPdwMQ3sTqrQOf7/btHlLXBUcCFXwZmLBn53tnjGiu9YlYB20tPS/MeGfoyi8FZtk0BegPXrEpnTz02gWtOj6t65Yzr6YpT3PjmVVzlpz2FBK45lf2uVX1fb1Nsi9OPa7/G+a7ldli1J3zFlYOzXMjkcVWtYzh4Tr9JP7Ak7aBTSvwpimvAPpYufLdTVZ4ctHQprgaPa6sFrHk38MS34g/UdaUpbZkQFVc5HZaF4rp6s5TaSFy+JRSvUb5cOkSTqmpSBMTZp8ZPB/bt6p1gwNfFJc0SIJPMNKcLJBysAvF3psA1k+KaNnOWtA8Pvd6eOEBXpqoPibdT9fsZ97sGVQaAvH1AXJY8+j3LZAgAsF+yCsQqdWYcts/Ul2TOKqCrP1Ivk8UqkNnjqrC5tAYc0mHluKlwUk2LzuOaFKz+ePWVbavSkcs1y7scY+HGBgxcrbCZgEChKgDud7/G5bMcSJ226zyuZT4O8BGg5fW5JauZOhRV4CqlwzKpP+L7rT8D/rqTLkxWdlzSrGmb6qK4Krb5gtv1ZeoU10IGZxkCYFEx3PyPwDOP6OuyRqhP6XG1VFxjq4DuZlNOtRTBfI63BqSZs+TfTL9qTzlJGwSPMBT1q46LMRNUheobkZRhUlwzXG66joecfdWcE4H1NwAnXSPVkdUqIAWuaSnaUsmRdnHkC7vtUZ1vaVaBnra53Kym1KFcV2G56dk2KajWBahOnve8yn7XyjnWNRVreGrTE7RCvb911MDjysDVBl3+P5GsVoEeT2yeXWI44BKfW5XukAIeuWTuVGw63fhVePymS/CsK2/ikenL+PJQpU1AYONJA6SbHMW64sXD5tywsgqYAl9BcZ00t/3nsr6pSYA6cO2xCmjOrTjI1FkFun4XS8XVh8e1yyog2YS0+VCFdQ5TBa6GNpmsAnF9Q7OAcVOBvb8ztDtGEcTl7btaLWD99fr22awvIlsFRuVVXDX1qDDmcXX4neQ8qGk4K+ByEJjV46oQhlTX2qo9rtaTCWXEqr9VkeU6ScW15tjcCetUJccDzNSJZgrSVMFI3jKrIMOjDmNxDqpGa9CcVUBcVll22iO19KaMYOgYe6Z8tVBcu8qSAhtRjdQqri7TIcv7UKXepCiu+koM36Usn0dxTQJXTVeqzMCQFriKiqvhONPVFx2UjsfO+6E5wM4ngaUXqMsU6xozET0YB2dZKK5otZ9A7HnRvA3KdRX1+iKr4iruJ8AwE5Z1QxwW1VkFbD2uqrp09WusAja4Hr+mdeX1VWXr2pea19nUjjzCguPvtXozMG+tYYGMaqiTXYeKa39hOoAHNXlSVXe/Le0/jnekEl13e9LBp1VcfVwMLMvIc+ExjaLNVqDiM5vBWbHH1bZ9pmV8WAWEdbV5XC0D1xjxWFF1eF112nRyOsVVcUFUXqwyjpK2QTcIq2dXpQWuisfv0SF9/klteyTFVTUbkYnWQCdwVSiuE2cB73uw95G2ah8rFVdd4C08ojWmw2q1+0mbFHvKQXIFBa7Wg7NS6s+tuLpYBUx5XAO2CmTOp6ryPLsornkGzuXpnx2DXpV1S6RMxTVgUavK58b1IelPDDty3NT2676Xuz93tgp4Gpkql68LXH0enKlBjIe6fPmPVKud9Wlg5eXAUZ073q5BSq32xULrcbU5lTSPn3MF9Cq1UPrORukTEQfyqdZpKRRXK49r5zUe+BNnCOhqm6Kc+PFuLhuNpk1ddSO74tozxazKk2ezH1oAovYyf/iowmtqEbjKy8W/28BgWxW0UcFMg7NU/m5bxdUalVWgqMA14+CsDdIMWLkV17ieLDfB8efIfp5YWQVc90cOxVVZnMJ6I35XtVXgiAXyytnrNaH67U/5oNvyOmrgcWXg6oLpAI5nmHl1p7SOYyCayypgOOC0g7PqgsujDpfyBCbNBd72ReG3khO3D7p7XAFg3JTucmzXfd+DwOWmvI9AT9DVdWHJmMe1a3pghTIjHqNJ8G1RbszhU/TLqI7xEzspwORz4+K/0teRinA8ib+Lbv9qB2dprAJisJhUaRG4xt8NjgGmHav4PmU7VTOqxZ+lXby7rAKOimu8bpri6koZiuvMZZYLSvWfdl33/7I6nhmbwDXn4CyjXUdi7CSLenXV5LTOxdhkmfAWuOYQR9ZcDVz17WzrOiGVO+FI4Mw/tV8+Sx0BkTmK2bt3LzZu3IglS5Zg2bJluP32FIm71lioSuPiwFWaPEB5IhnKMZ5gOQ6kREVzCLh848Mq4Kv9Nh2oHOy3BtV5XNPKe/tfA+d9fiSAtV135rLuee+BFPO/zupgCAq7lpfU+a6gThEQd9XpoL6MUwSuWY6N5ReNpPLKYxWQB7i1v+heTqu4xumwJMVVFUCagvNkkbQgL2U7xwz1rh/vT22aPcU+PszV4xofEybFNQM6Zdwnm77g3hYV3gJXC7SDswbcBmeZ/KtTjgEu+RpwzOliBb3vR48HjjpF0x7P15fMVoGSsgoMDAAL3tTdJq/opi32ZHcBgNHj2q9Ds+2bVTK5ftXrr78eTzzxBB5++GF84QtfwC9/+Utf7QoLG19JrLjulRVX1aNWw12uryTWcoATxOCsPHXpHo3lCFjSkO0VA4PqPK7a8jqfTZwJrPlP6N0GhzRrNvQMzpIVV8vfqssqoAhWxDYtPrv9KgfYInIZJsU1M47r6x55xvYFW8U1sQrIuVFjldNVcU15spC2Dw+f3FtHmuKq2sdGxVVx8xjXp0wlneFpieoGonIBKKUBpVoFDFkFxO9iC5tNHfJxOTCqPZBPd67E7z/+HPDu7+gamvK/LTae55b+3Cotj6u8bkEHrWtw7dKOGUvas7yd/V/d21USmffIuHHjcNpppwEAJkyYgOOOOw7PP/+8t4aFhUWAEXcQslXA9YRxsQqc8qF24vuYcz6nWqlTbueipbsAh4724pe1Y8gbuFrc8abdJIgX59WbNW1ImzJYUgu9Ds7SKK5im064GLj5ReCI+aZGdv87Sp4iV2yj6/7Mu/+li93eF6XvO9hM+SpiVFwtrAJZFdfDj+hdTjvVq1ymqLi6TkBg8rjaZIXQNc0UqJRM2vnjKx2WDSargHh+fuQnwI2q67KqP3V4amK7vHfF0aDAy09PRHL54yu/Y+rFWXF1vHlcugk4bJxrq0rDy1H1zDPPYPv27Vi9erWP4sLF1PHGPiDdABnbMl2sAgOjRtLWXPAXI9O9dSFNQCCncKmLVcA3WRTXluBxtQmgjzwhfZm4LRfc3j2Va/KdIeG22DZAMQGBFGjYdm5d6adSFFcgPdWM02CTAhV07brC9sSpmuTyDmlmzlr1rvbr9CXdnye/YYasAqZlUhXXTuAqLpb4bXWKq6Iu5bKGm8ckq4Bq5qwcg7NMnsaySavfl+JqgymPq3jMjR5rH4BYnaeuHldHZRBoezXXvj+9fqXH1WYGO0dCGheinbTGo+JaA1JvQ4aHh3HggBzsAN/97ncxe/Zs7N+/H5deeik++9nPYvx4xV06gDvvvBN33nknAGDHjh05m1wBNjMcxQfGwvXqz7s/1LxHykVN0QkcskyPMaAJXGtjFYiLyNARqgtKX0SluMYKW1o73v1dYNoi8zI2bcmluAqJ++VllWV1lhMDUVVA6fzYzUHJKXJ/di0u1iesm8yGpFPHJRafab7h8G0VSNvOsZPbrweF8zw1cLW4ORGrVj5JMPWNcTCuX6QHpVWg6gBCsQFx3lzAn8c1TwDZGrRTF22sAsplFDfG5ooslpEwjo5P87jqxAGXY8fhmlw6mqe/qT9zwwLXxx57TPtdFEXYvHkzzjnnHFx88cXa5bZs2YItW7YAANauNSXXDRXL4PA/P9X7iM05q4CLiXwA6TaGOBiRpyyVvg8dbYqOAhW6Ho+oKR2W9P9RJ6sqlf63sKCkjgQ3Ka6uVoFYce0ErmIgrAyILbFKs5NFlRPX76w3cbZ6Zq3eFdovUaQJ0jT7ypbkpscxHVZakGeruO7bJbSl0wbZhyvXmfoYWHdz0Rr5zJRVIMu+DcoqoKh/YBA42Alc4wG6WXGZAlp3HJz5J9JsfdoCLD8zLZMlwM64D5XjTFSKqy6gD9CnmgXdeBvXJ7s1J1dixBtuuAHjxo3DTTfdlL5wnbHNt6kcLe14whjVLMUF4w0fBH77c+D486Xv5AkIdFYBn6Rc3HOdPB6S9Xfhori2Rv7XDc7Kc7GxCWRsvk+bgMD2t0v80JF63azHtPgY+Zr/CxzYL5Tp6QZk608zlKHaHkurgI54ZHfWdFhZFdd4cJaY3SQ1HZbq5sSgtpm8hUarQAZCsgqoiG9MVr0LeNOHPZVp05dorhOLzyq4XkfF1VkZ1JE3HVafWAUSWu1JQl7bPfJ/g8i8R37zm9/gM5/5DB555BEMDw9jeHgY//RP/+SzbQGRdbaKDOuYFDbViTpxJnDF36mnaBTXicuVL8A+LgbWZeSoS6e4xnVfepdbeTb7pccqMFDMBAQuVoGedFjCutqsApZWgZ46NWqk60VAFdTMWQ3Mf4O4UOelZKuA+H7MJPX3gPugRjmHbvsfxWfyeimDs9J+n5nL26/jp498Fh/HytmwdO0xKa4KFc04OCvLwDvVuVG14mo4F075YO+MZM7lO2xf3mAqzQbgsp55hZT/LcmbxzXX75WhzavemaM+C1oDwB893h5EFf9vXL6/AtvMiuvcuXMR1WCGBb9k2PnKKR8Nd60uj2FdDsZkcJajchQaWZROq3IUqAZnHdynXt/pohO/sUmHlXY8SIFrnqwCssdVDITzWAVMA3fkuksbnKU4B8dPBfa/rG6Ha+Cq2uZkE037O6fiuuQc4Op/BuauGfksns1v6jGaIlVBjMk+oTj2k5sTT1YB1VOuqpUv5e+kukHJiItVIPcMi3lvFIUyjIt4CpjKtAqoAmJXzv9zYONn3ddLRTgvxk8Dpiwc+d+Ij/0dDiFq4OGReX5gm3WkA8mYPNrhhDr7VmDZ24AjV3TK1XhcX9+b0j4L4s47bXBCrnMmpVPPrQQoGJQV11H5FFdtcGYTyFh83+NxlRTX1MTk8XKix9Wn4mq40VV5acsi2b+qQWkdXAPXOE3daMWIbpvBWVkVVwCYd1L3ci893X7V5dpVKaJWwbWAqNL3fJdFcVXUVflFV1H/QIagPLUam4AwgEt3JqtAVsW1c/6J2y33Q94UVw9tHhgsJp1UTx9q+TSt8nPHLx4n/24AoVkFTJ3llIXA2//nyP+6dFixGpOHI08ANtwEnHhVyoIF2BJ8eSNVKPO4ZpjyNW0Z4+CstKwC4rpyVgGpU7Od8lPM+ascnOX6WN5CcdWmWioIpTJteCztGri+4QPtv+5K2y9WPnZfN2hID1yVdZqsAiUorkFaBUyKawF9m3HZAqwCheDLKhAHrsL68mx1TRicJdsWrc+tkLYhPwHcttUBy8FZKtL8Y7msAg7tGNBYBV7d5VCIrh2t9rzdE6anL5cV31kFnAZnZcgq4FKlad1RY4C3/MlIvlBTHle5kh6rgOWxJT7mzjvaXyzPNHivqAvxmqtHnjp0r6Co23Be+pi4w2VwlvaYyLAfNtwIjJ8BTJyV0q6UmxOtGiwErt48rop2VB1AmJRmH21zyirgaYbFovGlDKsUVzl/tHgDJdNvg7Pkc9FWcQ1xWzJAxdWGQq0CEi4TELiUHU/hKJ/sYtqcWuOqAmZRXAdG5qbP5IOSgyHLC9UbPwQ88GeaIg31yum8bDvv5BiJRtqW58KcKK5FWgU06513m7k+cV2j4urDz+8QuPpUXJdf1P7T1mkIUrs/lF7Frwz72JfaVflF17DdtbMK5HhClHxdhVVAVFzlaZaLUlyrPu4UyP2Ercc1niip5gS4R0IkRyom4yAHBS5Tvrq0Z8VlwBm39D6+9GEVsCZP556SVcAVq8BVUgq7PK49BWao00HJX3x2+/WYM6QypePLNDgrNUdw/Chb5XHNo7gqsgro6naux6cKZ1JcPQxqdFJcdcsUqTqmPJbXtb9L6fI8OCt0q4BPxXWkomxtcaoi6/nWVYinZWxQiEc9iuuA3sefS6EO6DG7fF64Kq5jhgppVtkwcHUhq0lbZrk4WUMOFdVl2cFRwKlbewdQDSrmjS+KQnxgBVoF4s4uyd06qL7zB7Ipri5tmbmsPUPTDGlqURurgKuBv8sq4ENxtRmcleNxcqb1HB9B+7AKlJEOKw+p6qau/a2RdU2Kq1PbVVkFqg4gVMG8ZcYO702pyaXb1D+5oBycVZDHdeqxwFGnALOG3dcti54bDyquRMZ2AgIVqoN+0hzg2n/pfC9952QVyOkZO//PgQv+wr2MKkh7VOs8YMjBKhAHrnt+KxbgXl6PipfjuErKNCmuslXA0hmkGpyVR3WwGZwVZ7fIPPtQnv1v8ajcZ+q/PFaBshRXF49rSwhcT1DMoJhHtQ8paDAprqVbBfLWV4SIoEA18j8LSo+rhVXgsAnA4Jj08Rciow4D3v0dYPZwp9yqb5hE5MFZlsLCgU4ax7H9objS4+pCJo9rxpyXyrJyqLMjK428PfHKDOvnwYdVQP4N4q9dAwuXwLXzmPjga8LqORRXL/tR0w5x8J3cuaV6XOPl4m5B8LjmwWZw1ivPt1+HZmerI1fwr1q3KqtAyoWostHgwmc6Fe2GZ4HRh/eu9vtn268zl9pXr7IKVB3EKm1fPq0CLpY0X1aBPMvY9KGCKrriMmD+KenrqMiquB5+BPCe749MheyE5ZOqMumxClg+zYgtgX2iuDJwtcKzxxXQK1kuimum9lR49+gjq4DWKuAYuGZRXOO71q56s+DL7qBYN1IFro6KazIBAew7RhM2iusr/9F+HdKMfPdOispaRFYBm4EUVSquaVYBXZ+V+Oc0M3O98kL7ddGZOdtUtfJlUFx9BjelKK4esGmDqIq++ZPZR/erBkirPK6qJ1CqqdhtCHkkvqsNjIFrAykkq4BOUSlo5qy0emuDpv2FKK6Sx/X1V4XVPVgF8qRZizlifvf/4uAxOfF72rGVKLOC4urFKmDhcf39c+3XoTlZK3FcPE3JKyBwDV5xTQsSUxRXHef+GfDri4BJczM0Sayr4r5LaZ/waRVwKSMAq4AN4s1yngBQqbjaZBUoe78UjXTNSJqW0sb9v2+/cnBWk8gRYKTNViSXWbRVoNI7dR9WAbnIrIqrxW/norhmSoel+dyFdde150mPUVoFhHReNnR5XD0orjZZBeK0bOMdvGgimdunsUMUqrgG6nG19f263rRNngesvNSxMSqrQNUBhEFx9XJ8ODzZi21L0xbnqzLXb+poFcj1xE0xKNYmj6uP7av8uFMhCQoNswowcLUhz8AMZ6uAzaw6uv+tGpRhHU+ElFUgi1UgbzuKUNEGRwOLzhr5vytwdR2cJSmuXVPIFmwVOPc2YPaqHInC87TPoC7G+BicZaW4xjcKKWUUQkGKaxZU1qCqH9maBmf58ECb6pE5rGPLWPmO4upI269WVgExuPQRuDp6XH2MH6j6uFPRMzgrpY3zTm6/TllYXJtKJMA9EjIZTrxCrQJ1U1xzoAscTGl4ZMbPEFdMXz4O4A6qAtcsHWRBKpq4T1Ue1+R/xwkIxDyuuRRXi8FZJ10NXHu/e9le02cZAjcvilpctuFYSS7GFSiuXdUYPK5eVS2XdoRoFei0T56RMFsF9otOXwx89AlgddkDbB3xdeORnH8mxXXAn7AhrhviNTPREywzdpz8XmDrz9tPP/oABq5F45xVwKCKZfFV9haSYR1fFOE3crAKfPBR4KRrOqvZBK6Sx9XUjlwe17ynoVCu2NbEW9rp9NMUV9nj6jsdVpF4v7hI5WUdDa0q07S/47zKVXhc06wCpQbTdbEKiE8n8uI4CHhoVsW/iWPdXgbnOnpc+11xtQ2uWy1g4sxCm1QmHJzlQpYTL80q4OJx9dKeuloFPMycNXYImBCfvJ6tApk8rh4GZ8nri8qP7L+zPba6Bmf5yCpQRsfv2r6UgEj87EOPZRtYpCvTGLiOTlmmSqtA/F2ZimtaMF0iqu3c8HHgH67JnsbNth4fy/pYL08ZeeqM01mNHjfymVJxlfPGelBcqz7ulMjxQ4htLA4GrjbYzimvwvUC5OTxq5vimoO0IM/Wg5ic5xa/w3EbgftnAas3GwrS/a9aRXd3nHef2CqujoGrL49rZt+qDT4u3K2ulx6mHJ2tjt5KOy+GwHXUmO5le4oo8CYgLfWU9twJIJguBUX9C08Dtv28+Hq8LKtaz0dgV9TyAmf+CTBrJTB3zchnjfa4NjNgjWHgakWerAKWSd+Tf5lVQI3u5sHBKiAub/PbTZgBbH1CU4wHxVVXlitdiqsqcI2PX8d0WFHk53jpB6uAlyItHuvFKpKsJsllFI7BKlCG4pqc7kJdVQcQVdevInebPM4Il0ae4+Sw8b0T5lilw/JAyPvdpk/pQwLcIwFSZFYBJ6uAHCzVTHEt4vFUmY+rrv4/YkE5ynUNtm3Lg5RVIKMNRVRqfabDKoSsT0NEJc+UbN8n8Tlv2A+xxzVRXgtk6VulD2ztE2UorvHNVtH1OFBWcODUldTJKuC5H7CZ8jVXNpCQg8JmK64MXJ3IYhXQraOzCjgMzvLansDRdUAnXdPOFrBgnWVBOTqjeX8gFJPDKtDzec7TUKe4xtgOzkrSYQlZALwMziqhm8lzA2OTDssnRo/rmO7XnnU9tuvivwJu2qEu2zQpQ5ke19CtAlXX43NgZ+Hrev79bKwCecSBoK0CUo7uhtHMrXamgMcp2iCmn9Nh+ahbKmPGEuC6XwDjp1qu7utO1YNVwNfgLLFcVT7JJAeircc1HtQlDs7K3rpirQJ5PX6az4o4T5JDz2JwllZx9diugUGpnpbmffxRmVYBVcaNhiiuJhZvlD7wefzLi3jeXu+Kq8UEBLmyPYQcuIasBhcPPa4uFHIAl20VqJAisgpkxaev1LY8V/U9S1tU+SRtB2fJgUktBmfFeFCOCh/BbnEhTKwCYzVFFKkEW6rQZfY7IfVxZQUwpm2+9GvdM/hlbVNyrmdbvauMopZPQ+lx1YgDWQh6AFSnTXHwrkzZ2L8EeCsRIHmVsfU3Kj7UKa6GOnwMzqo73tRJ32pClvJ8Ka4CysC1U4/tQEFxUJeXdFgBDs5KHUFfhOJqEbjGCmgZiqsJlwkICqHkPK4f/ndgy/dSFgrAKjA4GhgzUVi0Tk/QPLdVmQ7Lp+Ialxtg4BpvZ3yDG08B3BAaGPlkIafat/5jvZ95kfoDPKGM5Givjyk3AX+PWHx6XItKhxVj7XGFtFyNPK65LqJleVxtFNcUq0AIWQXK6HeUVoECmTwPmHuieZnSBmeV4XH1sC1VD86y8bj2beDaaVMcuB5oVuBKq4ANefK4xqy7Dhg3TfGFUOYZt6QUUnPF1UsHEIrimsPj6ls5F4vz4XFtCRMXhJ5VIO8x1XVDVLTH1YNVoNBBY5YqdJn9TlBBQ0hticnYJqvfNYSnUgasFNc+H5wV3+Ae3F9dWyqAgasVHtS+02+SPlCcxKduNZeRNxVUP+BdKfVUThaPaxGDs4yKq63HtSWs50NxLcMq4Lq8KkhTnOdxIOkTm8BVV29ZI/iNeVwLbIKuTqD6/q5StVu3aJVBVdWKq8Lj2tPH+UiHFWDgGrctsQq8Xl1TKoCBqws++60g1Mca4UP1BkYeLx3Ke6JnsAr04GmbugZnqR6NefC45iHIwVlCkK7zc374x8Do8blbpqxTRxK4aiYgaJrHNaisAgEMzsqzbPeKGdfLU0TNPK4hD86Km5QorrQKEBlfQZOKTInrs6wbACFkFYjnvH51V75yMj3u13SEhSuuljNnxajyuPbb4KyYKIJ6v7SAyUflbJSEy+CstIlLisA6q4DnAO7484Hx0zO2qUSqrl+Fz77D4SvLBaTFPf9+Vh7XPlVc4zYNMnAlWgoY/Z0FWgXSt3neWvP346a0X/MGrlmCz1LSYRkC17TBWUlgpfC4Bj84y5G0TAKFnFs2Htf4YlzQsWIkxSpQlAJ16dd7PytSLAiVMrfZZI9JXznbet49rrJVQPH0xIfiGuR1NrYKdAJXDs4iPfga0S7i42QIMSAwkmObbfbBR38KjJ1sXiYJXF/K3hYgp+LaITSPa4w4AUH8PtfgrNCtAgZ10Scug7O0imtJA93KVFyVBGgVKIsyAiVdf3rlt4BXngf+4Rr9uq1Wx0ZU8f5QKq5yH9uvExA0Ox0WA1cnClRhMi1bs47ci1XAUMbQ7PRiDvcUuGbZFz3b7ynlj1hudAh4+18Dv36w+zPAfspX0eOarCO1fe37gb07LdsX4JSvMV1WAQ/lGbG4EKZlcShrcJZLPukiCckqUBplbqdUm/mMpAAAGE1JREFU19GnAs89ZrmOpp1HrwNe+EnOdllQWh7XEANXSXHNPWajXjBwtaIAxTXLLDRNnoBg4qz266Q5+cqJFdfX92RbvzXYTjnlQ3FN/dy6USNvDx0Alr21/Zdg6XGNO8Euj6tGcT37VvvmFaq4ZvztlAFRyqNyX5iOldQLbVlBjSGYb1K/00TSrkmtlvmSeOV9Xpujpeg8riEPzpKzCjQMBq4u+Lzjz1RW3T2uOdq7dBOw+ZvA0afla8KYoXzrD4wCDh5Epn3Rk26qiJmzclgFzr0NmH4cMGtV+/8xQ3rF1YXgJyCIPypY3bMJ/NKOidIGZ6naWOKFXDkBQUX9XWvAj3JnXV9FivbIh2krGdYtETk/dGtAcXMuRNgnXuUY6AWynSrkPK4Ng4GrDcEOFAitPSnkGpneAhaur7YNQDv4OwjFhd2m3IKCka7BWTmmfJ04c2QSjAtuBxacCvy/r+RvY8hZBdorW36Wl06Zxv2QZh+p0CpQSTqsEKwCZddbYn0qr6uN4tp+4705uVDlcRVvOM7/747lBfyEIbEKNFNxDXCPhEgRWQU8nPwhnlB1YNYwcOq2bOvGCqSPCQi8IXpcPcycBQCrNwNTjrafJtZEiIOzVAGReBEvVHE1lJ1caCtWXI1pksrsd0qyb5i44M+BI44ur76qFb7U/RuoEllYOqzAthOg4lp1A2pBkVkFnE4KqR0hnlBGAmnve/4l+7pJEJbHthEv6+m4SqvbenCWqmzN9mYqowB8JGAvK6uAzeCsKq0CXfWYJiCoyipQEave2f7rK0zHWYqoEsI+UaGyCnhJhxXi9to8velfQtwjAVO1p2d090kU5AlloHaBtoJJ83KsLG2/txsiodwjV/R+7ZoOS0SnMDuVEaBVoIo8rjYXwiPmt1+nHee//lQsg/nKPZj9TtWKa52tAj4V16RgD2V4ppHnxQhUXG04Yj7w9APAYeM8Fprh5B8YAD7xEvC3lwM/+7bbusQPV/w98Ot/601+bUPRnc2YScCV9yq+sJ3yVYFOYXahyO324j8vS3GNizYErsecDlz7L8CslcXVryPNKlBJwBKCx7Vkyt7OFZdKVgjL+kPYH4NjgIP72+9bLb+Kax3yuDYUBq42bPwscPwmYMpCf2XmOenjoKl2B28AHV1eJs4Ell+YceWCtj/unGetGJnStut7xylfRXxMQFAGeQf+td/4KU9fUecl5bydPVxA3TbYKq4l9jshZBXody68o/v/1GPf8QbmrE8D/+Y4MMqWw48Adv9HpzkKj2seO1bQVoFmwz1iw2HjgMVnVt2KEZLHt9U2w5nQg5+i0U1AkJd4QJaug/XicQ2UrMeU9cXZI8n1PtBuNy0dVpke16CyCpRN1duZsp9dj983fADY9vN8TdKx4u0j79OyCjhTg8FZDaXZW18pra4XJ+JpIVWpj0j4xB3hRV8B5p2cv7wka0BK4Jqls4uD3SIGKHrFg1Wg8CCpTgpOxYprsCkIi6SI7DW6qgy/r63HNYSA7s2fAi68s/2+SYOzxN/+1G3ta0mDoFWgKvL4xeJg4mDdpnkLoKMLieUX5rAdCMQ3MDpFNc9EB7GCUWYC9iw4b1sFWQVCvhACSP1Nqmh/I60CVW+nZ6tAHj7wQ/WkKjEDA8CE6Z3mFKW4hni+Cr/9GTdX14yKYOBaGXlGaXd2W93mJw7hDr0fSc0akCO1UKK4Bq7uuyrC1gORfBLyhRDpVoEyA5Yy1cdgCGRbUxXXcpoBAJi+2GIh4bzymce11fMmHELtQ0qi2VsfAlk65sHOHM0HDXeiJDyKetx+yNLjmqWzi9cxqR61JipxcFYJZeciQMW1UVkF4mC92laMoGtIQFYBoPu49Dk4Sy4/JEJsU4kwcK2KXHkxO4Fr3RTXcHrkivH8O6QFpnFu19gb7UKiuAZuFXAmRXEtpMrAFVdb4u04+b3F1aG0tzSl/6h4O2uXx1UIpL3mjA4sQBepex+Sk2ZvfaV4SIdVN49riB1AP5CWVWDTF4Br7wfGTHAvO74QBD8QMKtVoFXicRl44Jr2O4yfDiw5D5hzYvv/jZ8BPvlyQY1polWgTEzni6XHNbR9oxqclau8kM/XwH77kqHHtXKyDJipq+LaAOa/qfw6JxzZfp33B+rvDxsHzF6VrezaZBXISgQqrh3SApHB0cBld5XTloQmWQU6VD0zWariGtjxK2Y58Nq2gM/XppwLGhi4VkWelCKxxzV4FUymz0+2j/xEPQFAQkHB37RjgQ/9SJr9xhOxghH64CznY0tYfuLM9uu0xcBvHvHWIm2dIV4IQ4VWgerq1+ZxDdUqoMgqkKvY0LZToOF9CAPXyshxMkw+qv06fpqfppRFv98lTppjt1wRv4PPWd1E6pIOyxXxojTnRODqfwbGDgGPfb34Oht+0bEiSTMq/FZ93n0kVN1PxvVrn7IEZhXoGpxVhMc1xPM1kN++Ihi4Vk6GA3DlO4AJM9vzmpP6ED92nzS32na40K8eV3m9eScBL/7SW2uMhD4bWVA0+wIdJMEpkaLiWkCQGUqALhJkMF0eDFyrIu/c6see4a8tpRFgB1Am46YAl/0tMP+UqltiT+hZBTKfR2XlblXU2fCLjh2qG5Gm9B+hb2dg7TOmw/JUbmiEGEyXCAPXymjggdfwkw0AsOScqlvghk+P64xl+cvwRRXHYkhTZYaOKh1Wv/9ueWa4y1qX6TqU5nENZnc00SrQbBi4Vk2/d8ak3iSztOUMXK9/Jlse2TIpRXEtM/1WP8DfKjwCswpMPw44/nxgxvEcnNUQGLhWhXhSLDkPeOnpKltDiJrYM5bXKjB2KH9bTDin61JdjAq+QHlP19M0AgwgfBJyoCQS2jF8+GTg0s6gygOveSw44CckIbapRBi4hkDpuRErouEnWy0J3eOa9SKvzF9Z9AWZgas146YAv/8NrQJVtkNHyJaXxnhcA2xTiTBwrZoQT35CYlqhZxXImk2gisFZaPwFx5rL/w548nvA6MOFD5vSV4aynZYzaIVEU6Z8DfG3LxH2oqREmn2y1ZLgFdcOXi4utAoEw9AsYNUVVbeiXEoNkHJMhhK04lpAm0I8Z0P87UskwD3SEGxGdfYbDT/ZaslATWbOcvW4ZpnqMjcMXHPR7/1HFVaBTHX1+X6ICdlz3PB+hFaBygjEz1QVRyyougXEhuBnzvKYx7UuiuvZn2nP9kX6lBKvCcobPkuPa4gBnVcC9rj2/W9vhoFrE9n434DJ8yuouHOyjRoLvO/BCuonziQe11ADV4+UcYHyUcfa9+Yvo5Y05GIdipihbUfAVgGfcHBWsDBwrQrn9D0eOfk91dQbdwTjpgKHja+mDcSNxOMauFXA1bNXhVWgxRyuueBv558sv2ljgqaAA/QQ21QiTTkCSRA05RFTHzEQeFYBn1O+lnFcNuaiT7JT5sxZCiYcCYwZAk67Xv19U6wCISuu/f7bp0DFtXIaeAA2/G6xVtQlq0BWxAs4B2cFTkP6jSzH4fQlWSvr/Wj0WOCGZyxWbcr+CPCcDbFNJcLAtSrik35U4NNg+qQpHV0/EXeQwVsFHFEeijUZnNVU2H+ouem3OY6rLJa1miiub/tyexrY3AS4nQ0/Fxi4VsW4qcDpNwMrLqm6JRXQ7JOuVgSfVSArCv8aFdfAaUq/4bidZYsfdTmGV16Wb/2m5autEQxcq6LVAtZtq7oV1dDsc65e9HtWgS6rQMEX5FbL88w+pL+oIkVilsFZAQd0XmnKdtaPmtw6EUIqoW+tAlVcjKi4kn6gJlaBvAQ9OKvZcI+Q8qgyBRjJRr9bBbo+KiOrQJ9f7Iuk7387TvkaFgxcQyX3Hjl06BBOPvlkXHzxxT7aQxpBv3d4fUQr8HRYMV5uijg4K2z6vd+oy2yKobfPE01J+1VDcveiX/nKV7BgwQIPTSGNYfThVbeA2DIQulUg40WligkIaBXIx6Q5VbegJMoIlHLU0bSAjudscOTaIzt37sTdd9+Na6+91ld7SD8zZgLwlk8Bl3+j6pYQW+JOO3TF1RlV4FrC4CxeBLMzaS5w3a+qbkWBVGAVyHSzRqsAqZZcWQU+/vGP4+abb/bVFtIE3vhHVbeAuDC6MzXvuuuqbYdvlBddKq7BM35q1S0okJpYBUJvny8a4+WtH6mB6/DwMA4cONDz+Ze//GW89NJLWL9+Pe6//35jGXfeeSfuvPNOAMCOHTuytZQQUj6Do4BPvlx1Kyzw4HEt+gJFxZVYUfGUr2k0xipAxTVUUgPXxx57TPn5F7/4RTzwwANYsGAB9u3bh1deeQXXXnst7rjjjp5lt2zZgi1btgAA1q5dm6/FhBCSmyoUV/AiSNIJPY9rU6wCjQnQ60fmXvR973sfnn32WTz99NO4++67sXHjRmXQSgghxeN4ceHgLNJkkmM9g/La7wFrAhXXUOEeIYT0AXVJh9WUiz7JTuBWgaYpkDxng8PLlK/r16/H+vXrfRRFCCH2ZL6oVJBVgIorsSF0q0BTBi01ZTtrCHtRQkh9OfbN7dfJ8/OXxcFZJAhCD5RCb58vaBUIFS+KKyGEVMLwFcDSTcCYiR4K4+AsQlKJj+F+n8Kbg7OChYErIaS+tFrZgtYqBmctvwh49aVi6yD1JWIe17Cg4hoqDFwJIc1DqRYVHbheWGz5pE+oSWDYFMWVgWtwcI8QQgjQICWJBEkVx1+WOpNArs8D16bkq60hDFwJIc2jkjyuhBgo0yowbkr7dWh2hpU77YsOeWtO0FBxDQ5aBQghhJBgKCFwPeZ04B3fABa9xX3dOLCmVYBUBANXQgghJBTKUv6POzvjijlm3aolfBITGryVIIQQQogdVFyrY8rCqlsQBFRcCSGEkGCoi8IXaOA6ejzw+h4PBbW6XoLg2vuBfS9X3YrKYeBKCCGEhELogwRDV1y3PgEcOpC/nBAV17GT2n8Nh4ErIYSQevHGP6q6BQ0mcI/r2CFPBQUYuBIADFwJIYTUiU/2+6PS0BXXhkz5mhD4/mggvJUghBBCQiF0q8DKy9qvQ3OqbUfRhGgVIACouBJCCCHElpWXjQSvfQ0D11DhHiGENJfGPO4khDjR4pSvocLAlRBCCCGkCyquocI9QghpLlRTCCEqkr6BfURoMHAlhDSQwHNREkKqZfZqYPlFwOSjqm4JkeDgLEJIA2HASkKDx2RQDM0CLv6rqltBFFBxJYQQQgghtYCBKyGkgdC3RgghdYSBKyGkgfCxLCGE1BEGroQQQkgoMNMFIUYYuBJCGgiDA0IIqSMMXAkhhBBCSC1g4EoIIYQQQmoBA1dCCCGkaibNbb+2BqttByGBwwkICCGEkKq5+KvArx8Exg5V3RJCgoaKKyGEEFI146YAx59XdSsICR4GroQQQgghpBYwcCWENBhOREAIIXWCgSshhBBCCKkFDFwJIQ2GExEQQkidYFYBQkiDoVWgiyv+Hjj8iKpbQQghWhi4EkIIabPoLVW3gBBCjNAqQAhpMLQKEEJInWDgSghpMLQKEEJInWDgSgghhBBCagEDV0IIIYQQUgsYuBJCmkeL3lZCCKkjDFwJIYQQQkgtYOBKCCGEEEJqAQNXQgghhBBSCxi4EkIIIYSQWsDAlRBCCCGE1AIGroSQ5nHE0e3XZW+rth2EEEKcGFV1AwghpHQmzgQ++XLVrSCEEOIIFVdCCCGEEFILGLgSQgghhJBawMCVEEIIIYTUAgauhBBCCCGkFnBwFiGExHzkJ8DgYVW3ghBCiAYGroQQEjNpTtUtIIQQYoBWAUIIIYQQUgsYuBJCCCGEkFrAwJUQQgghhNQCBq6EEEIIIaQWMHAlhBBCCCG1gIErIYQQQgipBQxcCSGEEEJILWDgSgghhBBCagEDV0IIIYQQUgsYuBJCCCGEkFrAwJUQQgghhNQCBq6EEEIIIaQWMHAlhBBCCCG1gIErIYQQQgipBQxcCSGEEEJILWDgSgghhBBCagEDV0IIIYQQUgtaURRFZVY4c+ZMHH300WVWCQDYsWMHZsyYUXq9pFi4X/sT7tf+hfu2P+F+7V+q2LdPPfUUXnjhBeV3pQeuVbF27Vo89NBDVTeDeIb7tT/hfu1fuG/7E+7X/iW0fUurACGEEEIIqQWNCVy3bNlSdRNIAXC/9ifcr/0L921/wv3av4S2bxtjFSCEEEIIIfWmMYorIYQQQgipNwxcCSGEEEJILeiLwPWZZ57B+vXrsXTpUqxYsQL33HMPAOCqq67CwoULMTw8jOHhYTz55JMAgH379uHCCy/EokWLsGHDBrz44otVNp8Y2LVrF9asWYPh4WEsX74cf/mXfwkAeOSRR7Bs2TIce+yx+NSnPpUs/+STT2LNmjU49thj8d73vhd0woSJbr+uX78eS5YsSc7ZV199FQDw4osvYsOGDVi0aBEuvPBC7Nu3r8rmkxT27t2L+fPnY9u2bQB4vvYL8n7l+dofLFiwACtWrMDw8DA2bNgAQH9uBrFvoz7gueeei370ox9FURRFzz//fDR79uxo9+7d0ZVXXhndd999Pcvffvvt0datW3vek/A4cOBAtGfPniiKomj37t3RggULohdffDFas2ZN9Pjjj0cHDhyITj755Gj79u1RFEXRRRddlOxz8T0JC91+Pe2006If//jHPctv3bo1uv3223vekzC58cYbo0suuSTpW3m+9gfyfuX52h/Mnz8/euWVV7o+052bIezbvlBcZ82aheHhYQDAkUceiWnTpmHnzp3a5e+99168613vAgC8853vxH333VdGM0kGBgcHMW7cOADA/v37EUUR9uzZgwMHDmDFihUYHBzEZZddhm9961uIoggPPvggzj33XADctyGj2q+RQW3jOVsffvGLX+CJJ57Axo0bAQDPPfccz9c+QN6vJni+1hvTuRnCvu2LwFXk0UcfxcGDBzFv3jwAwLZt27By5UrccMMNOHjwIIB2RzpnzhwAwOTJk7Fr166qmkss2LVrF1auXIm5c+fiuuuuw44dO5L9BwBz5szBs88+i9/97neYMmUKWq1W1+ckTOT9Om3aNADA5ZdfjlWrVuG2225Lln355ZcxadIkANyvobNt2zbceuutyf9ifwvwfK0r8n6N4flaf1qtFk477TScdNJJuOuuu4znZgj7tq8C1507d2Lz5s244447AAC33norfvrTn+Lhhx/Gr371K3zpS1+quIUkC5MnT8bjjz+Op556Cn/zN3+T3ICQeiPv1xdeeAF33XUXtm/fjvvvvx/f/OY38e1vf7vqZhIHvvnNb2Lx4sVYvHhx1U0hHtHtV56v/cG//uu/4tFHH8W9996LT3/60/jJT35SdZOMjKq6Ab7Yv38/3vrWt+L666/HKaecAqBtIQCAsWPHYvPmzcmgrdmzZ+PZZ5/FtGnTsGvXLkyePLmqZhMHZs6ciZUrV+JnP/tZ113es88+i9mzZ2Pq1KnYuXMnoihCq9VKPidhE+/XBx54ABdffDEAYNKkSbjkkkvwwx/+EOeeey4mTZqU3Olzv4bLQw89hLvvvhv33HMPdu/ejddffx1DQ0M8X2uObr/ecsstAHi+1p34icisWbNwzjnn4Mknn9SemyHs275QXKMowlVXXYXTTz898V4AwPPPPw8AOHToEO69914sW7YMAHDeeefha1/7GgDg61//Os4777zyG02seOGFF/DKK68AaD+i+P73v49Vq1ZhcHAQ27dvx8GDB3H33Xfj/PPPR6vVwtq1a5O7/rvuugvnn39+lc0nGlT79bjjjksyfLz22mv4zne+oz1nuV/D5NZbb8UzzzyDp59+Gp/73OdwzTXX4JZbbuH5WnNU+/XGG2/k+doH7NmzJ+mLd+/eje9973tYvny59twMYt+WPhysAB544IGo1WpFK1euTP62b98ebdiwITrhhBOiZcuWRVdffXW0b9++KIqiaO/evdGmTZuiY445Jlq3bl20Y8eOireA6Hj44YejlStXRitWrIhOOOGE6Etf+lIURVH0gx/8IFq6dGm0cOHC6BOf+ESy/M9//vNo9erV0cKFC6NrrrkmOnjwYEUtJyZU+3X37t3R6tWroxNOOCFaunRp9LGPfSw6dOhQFEVRtGPHjmjdunXRMcccE23atCnau3dvxVtA0vjqV7+ajD7n+do/xPuV52t/8OSTT0YrVqyIVqxYES1btiz6/Oc/H0WR/twMYd9yyldCCCGEEFIL+sIqQAghhBBC+h8GroQQQgghpBYwcCWEEEIIIbWAgSshhBBCCKkFDFwJIYQQQkgtYOBKCCGEEEJqAQNXQgghhBBSCxi4EkIIIYSQWvD/AWOJ0KBYEb5YAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(250, 500, num=1000)\n",
    "expected_y = np.log(x)\n",
    "y = spu_log(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Logarithm(Newton Approximation) - Incorrect\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected log(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu log(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Natural Exponential\n",
    "\n",
    "The current implementation is based on Taylor approximation. The valid input range is around **(0, 10)**.\n",
    "\n",
    "> **_NOTE:_**  Similar conclusion also applies to **exp2**.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_exp = pps.sim_jax(simulator, jnp.exp)\n",
    "x = np.linspace(0.0001, 15, num=1000)\n",
    "expected_y = np.exp(x)\n",
    "y = spu_exp(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Exponential(Taylor Approximation)\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected exp(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu exp(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If input not in valid range, then..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(10, 20, num=1000)\n",
    "expected_y = np.exp(x)\n",
    "y = spu_exp(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Exponential(Taylor Approximation) - Incorrect\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected exp(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu exp(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Another Choice: Pade Approximation\n",
    "\n",
    "SPU also implements Pade Approximation which has a larger valid input range - **(0, 20)** but with slower computation speed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    "    fxp_exp_mode=spu.RuntimeConfig.EXP_PADE,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_exp = pps.sim_jax(simulator, jnp.exp)\n",
    "x = np.linspace(0.0001, 40, num=1000)\n",
    "expected_y = np.exp(x)\n",
    "y = spu_exp(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Exponential(Pade Approximation)\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected exp(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu exp(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check if input is larger than 20:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ennrqqdplF198sdavX68vvvhCdrtdf/3rX2sPSPLy8tL06dN13333qaioSC6XSzt27NCaNWtOeIyVK1cqNzdXmzZt0saNG7Vx40bt3LlTffr00bvvvlt7u+eee045OTnKzs7Ws88+q6uuuqp22erVq+vkGD58eL3l7eqrr9ajjz6qwsJCpaen6+mnn64du4cffljJycmaO3euxo0b1yRnJjjVayidelwnTpyoTZs26dNPP5XD4dAzzzyjwMBADR06tFGPvWLFCl100UW/9Ck0aMaMGXrooYeUnp4up9OpFStWSJKmTJmiBQsWaPXq1bLb7XrooYd0zjnnnDBLWp9LLrlEGzZs0IIFC+RwOFRZWamvvvpKxcXFGj58uEJDQ2vfoyUlJbXf87GxsfWWVqCtoJiiTZk9e3ado7PvueceZWdnKzIyUldeeaUmT55cuyw4OFh//OMfNXDgQEVEROjQoUO64YYbdNZZZ6l9+/aaOnXqCacuOt7DDz+spUuXKiwsTHfffbeuvPLKRmf9+RkBjn189dVXmj9/vtavX69//OMfstlseu211/Tss8/WHoXt7e2toUOHqmPHjvr1r3+t5557Tj169JAkPf/883I4HOrQoYMuu+wyPfLIIzr//PMbzNK5c2e99957euCBBxQVFaWePXvq008/bdTz+M1vfqMff/xRERERuv32209Y/txzz+nuu+9WZGSkFi9erNGjR9e7rptuuqlO6avPtGnTFBkZqbi4OI0cOVITJkyoXdauXTu9++67uuuuuxQXF6fAwMA6m2GfeeYZhYeHq1+/foqKitK0adNOOkv71ltv6aqrrlLXrl1rZ0zj4+N122231fkD5KqrrtLIkSPVt29fjR8/XjfeeGPtsiuvvFKvvPKKoqKitGrVKs2bN6/e5/SXv/xFPXr0UM+ePTVixAhdc801mj59ulJTU/Wf//xHr7zySm3+JUuWnHSW93Sc6jWUjn5vX3nllYqIiDjhj4WYmBgtWLBAs2fPVnR0tD755BMtWLBAvr6+DT5uXl6etmzZ0iQn62/IAw88oHHjxumcc85RdHR07fmNe/XqpTlz5ujGG29UXFycdu3adVp/VIaHh2vRokV67rnnFBsbq+Tk5Nrx8fHx0eeff67Vq1crISFBPXr0qL0AwpQpU1RWVlZ7JgCgLbIZ/jQDWo2DBw+qa9eurfa8ly6XS8OGDdPHH39ce5J9d5acnKy33nrrpKe4euSRR5SRkaE5c+ZYkMx9/eUvf1FcXJzuvPNOq6MAsIA1l7UBgDPg5eVV76Z+tA6PPvqo1REAWIhN+QAAAHALbMoHAACAW2DGFAAAAG6BYgoAAAC3QDEFAACAW6CYAgAAwC1QTAEAAOAWKKYAAABwCxRTAAAAuAWKKQAAANwCxRQAAABugWIKAAAAt0AxBQAAgFugmAIAAMAtUEwBAADgFiimAAAAcAsUUwAAALgFiikAAADcAsUUAAAAboFiCgAAALdAMQUAAIBboJgCAADALVBMAQAA4BYopgAAAHALFFMAAAC4BYopAAAA3ALFFAAAAG6BYgoAAAC3QDEFAACAW6CYAgAAwC1QTAEAAOAWKKYAAABwCxRTAAAAuIVmKaaTJ09WZGSkpkyZ0uBt77jjDsXFxWno0KF1vr5v3z4NHTpUXbt21a233ipjTHNEBQAAgJtolmJ6zz336M0332zUba+99lp98cUXJ3z9D3/4gx555BHt3btXeXl5WrRoUVPHBAAAgBtplmI6ZswYhYaG1vna4sWLNWLECA0aNEjXX3+97Ha7JOncc89VdHR0ndsaY7R69WpNmjRJknT99ddr4cKFzREVAAAAbqJF9jHNy8vTk08+qe+++04bNmxQly5d9Oqrr9Z7+/z8fEVFRclms0mSkpKSlJmZ2RJRAQAAYBGflniQ1NRUbd68WSNGjJAkVVdX186GAgAAAFILFVOXy6VJkyZp7ty5jbp9dHS0CgoKZIyRzWZTZmamEhMTmzklAAAArNQim/JHjBihpUuXKi0tTZJUUlKiAwcO1Ht7m82mlJSU2gOe3n77bV166aUtERUAAAAWsZlmOA/TBRdcoE2bNqm8vFxRUVGaP3++ysrK9OCDD8put8vLy0vPPvusxowZoxkzZmjx4sXKz89XbGysnnnmGf3617/Wnj17dM0116ioqEjjxo3TSy+9JC8vTrsKAADQWjVLMQUAAABOF1OQAAAAcAsUUwAAALiFJj8qPy4uTp07d27q1QIAAKAVOHDggHJyck66rMmLaefOnZWamtrUqwUAAEArkJKSUu8yNuUDAADALVBMAQAA4BYopgAAAHALLXJJUofDoYyMDFVVVbXEw6GZBAQEqH379vLxaZFvGwAA0Ma0SMPIyMhQaGioOnXqJJvN1hIPiSZmjFFBQYEyMjKUnJxsdRwAANAKtcim/KqqKkVFRVFKPZjNZlNUVBSz3gAAoNm02D6mlFLPxxgCAIDmxMFPzeTZZ5+V3W4/rfs88sgjev7555sp0VGTJ09WVlZWvct37dqlGTNmNGsGAACAk6GYNpMzKabNbePGjQoMDFRiYmK9t+nRo4dycnKUkZHRgskAAADaSDGdN2+ehg0bpgEDBujee++VJL3//vu6/PLLJUnbtm1Tnz59VFFRoUceeUQzZszQ2Wefre7du+uDDz6oXc8//vEPDRs2TP3799dTTz1V+/W//e1v6tevn/r3769nnnlGL7zwgrKysnTOOefosssukyQtXrxYI0aM0KBBg3T99dfXltZXXnlF3bp10znnnKOdO3eeNP++fft00UUXaejQoRo7dqwOHjyowsJC9ezZU4cOHZIxRqNHj9bixYt18OBB9e/fX1dddZV69eql6dOny+FwSJLeeecd/epXv5Ik7d+/X7169VJJSYkqKyvVt29fbdmyRZI0adKkOs8bAACgJbT4eX9Kq2q063Bpk66zR3yoQgN8T7psx44d+vTTT/XDDz/Ix8dH06ZN06JFi3T11Vdr/vz5evPNN/Xvf/9b//73vxUUFCRJ2rp1q77//nsVFRVp+PDhmjBhglJTU5WRkaE1a9bI5XJp/PjxmjBhgg4dOqTvvvtO69atk7+/vwoKChQVFaUnn3xSq1evVkhIiPLy8vTkk0/qu+++U2BgoB5++GG9+uqrmjx5sp544gmtW7dO3t7eGjRokM4777wTnsPtt9+ul19+WcnJyfruu+/0wAMPaP78+Xrqqac0a9YsXXLJJeratasuuugiHTx4UFu3btV//vMfDR06VNdee63eeustzZgxQ6mpqZo1a5YkqUuXLrrjjjt03333KSwsTFdffbX69esnSRo8eLCefvrp2hIPAADQElq8mO46XKopL/3QpOv88NYRGpocddJl3377rVJTUzV06FBJUkVFhYYMGSJJevHFF9WnTx9dffXVGjVqVO19rrjiCvn7+ysuLk5DhgzR5s2btWTJEi1atEgrV66UJJWWlmr37t1atWqVbrzxRvn7+0uSoqJOzJGamqrNmzdrxIgRkqTq6mpNmjRJa9as0dixYxURESFJtbOrP1dWVqaVK1fWzu4aYxQcHCxJuuSSS/Tee+/pqaee0ubNm2vv07Vr19rne8011+izzz7TjBkzdPjwYbVr1672dnfccYdGjx6t8vJy/fjjj7Vfb9eunbKzs+t7uQEAAJpFixfTHvGh+vDWEU2+zvq4XC7NmjVLs2fPPmHZoUOH5Ovre0IJ+/nR5zabTTabTS6XS7Nnz9b06dPr3HbVqlUN5nO5XJo0aZLmzp1b5+sLFixo8Eh3l8uluLg4bdy48YRlDodDe/bskbe3t0pLSxUeHl5vfunoCfJ/frqn0tJS5eXlyRijqqoqhYSESDp6eq/AwMAGnxcAAEBTavF9TEMDfDU0OapJP+rbjC9J48aN0/vvv6/8/HxJUm5urrKzs2W323XzzTfriy++kN1ur7NP5SeffCK73a7c3FytX79e/fr104UXXqg5c+aooqJCknTw4EEVFxfrggsu0Ny5c1VdXS1JKigoOPo8Q0NVWnp0l4URI0Zo6dKlSktLkySVlJTowIEDGj58uL777jsVFxerrKxMCxcuPCF/WFiY4uLiapc5nU5t3bpVkvTEE09o1KhRevLJJ3XLLbfU3mfPnj366aefJB3dl/bY7gE9e/bU3r17a293//3364477tDMmTP1+9//vvbre/fuVa9evRoeTAAAgCbU6q8t2adPH/35z3/WuHHj5HK55O/vr9dff10vvviiJk2apIEDB+rll1/W+eefr7Fjx9beZ+TIkSosLNQTTzyhsLAwTZgwQdu3b1dKSopcLpciIiL00Ucf6eKLL9b69es1ePBg+fr66sYbb9Q999yjWbNm6fzzz1f37t312Wef6dVXX9WVV14pu90uLy8vPfvssxozZoweeOABDRs2TDExMbW7GBzvnXfe0a233qqHHnpINTU1uuWWW+Tl5aV3331Xa9asUWBgoD744AO98cYbGj16tPr27at//OMf2rx5s4YNG6Zrr71WkjRhwgQtX75c5513nr755hvt2rVLL7/8sowxGjlypJYtW6YxY8Zo+fLlmjhxYouNEQAAgCTZjDGmKVeYkpKi1NTUOl/buXOnevbs2ZQP02weeeQRxcTE6M4777Q6yhk5ePCgpkyZonXr1p2wrKysTBMnTtSKFSvq3YXAbrdr7NixWr58uby9vU9Y7kljCQAA3M/JuuIxbeJ0UTgqJCREDz74oHJycuq9TWZmph577LGTllIAANA62B0u7c0tVRPPT/5irX5T/ul65JFHrI7wiyQnJ590tvSYiy+++JT379y5szp37tzUsQAAgBv58UC+bnhtjebfOkLD6jmzkRWYMQUAAGhjvt2Rq9AAHw3sEGF1lDoopgAAAG2IMUbf7MjRmB6x8vV2ryroXmkAAADQrHZklyqjsFIX9Iq1OsoJKKYAAABtyNfbc+TjZdOYHhRTHOeDDz7Q//3f/53yNpMmTVJhYWELJQIAAK3Z1zsOK6VLtMID679AkVUophZ7+umnNWvWrFPe5rrrrtNLL73UQokAAEBrlVVUqa2ZJRrfO87qKCfV6otpWVmZJkyYoH79+qlfv35avHixJCkmJkZ33HGH+vTpo0mTJqmkpESSNGbMmNpLfm7dulVjxow5YZ1Op1P33Xefhg0bpgEDBujtt9+WJN1222165plnJElz5szR1KlTa9f5u9/9TgMGDNCgQYO0bds2SdL27dsVGRmpsLAwSUdP5bRgwQJJ0kMPPaQHH3xQknTJJZfo/fffb4ZXBwAAtCXf7jh6LvML3LSYNnge0127dunqq6+u8/m7776ryy+//MwesapEyt1+ZvetT2xvKSDspIsWL16s6OhoffXVVzLG1F6/Pj8/X2PHjtULL7ygBx98UE8//XSjz2H62muvKSEhQWvXrlVlZaVSUlI0YcIEPfnkkzr77LM1aNAgPfHEE/rhhx9q7+NwOLRp0yYtXrxYd9xxh5YtW6bU1FQNHjy49javvPKKLrjgAoWEhGjhwoVas2aNJCksLExVVVUqKSmpLbEAAACna8n2HPVJDFNSRKDVUU6qwWLao0cPbdy4UdLR2cfk5GSNHz/+zB8xd7v0n4vO/P4n85vFUseUky7q16+ffvvb3+r3v/+9Jk+erBEjRkiS/P39dcUVV0iSpk6dqnvvvbfRD7dkyRJt3bpVb731liSpuLhY+/fv17Bhw/TPf/5TF1xwgd577z1FR0fX3ufY7OlFF12kGTNmyOVy6fDhw2rXrl3tbdq3b6/7779fF198sVatWiV/f//aZdHR0crJyaGYAgCAM1JSVaPU/fm64/yuVkep12ld+emzzz7TuHHjFBwcfOaPGNv7aJFsSrG9613UvXt3bdy4UZ9//rnuvfdeXXfddbrzzjvr3MZms9VeO97Hx0cul0uSVF1dfdJ1ulwuvfzyyxo9evQJy7Zs2aKoqChlZ2ef8BjHCwgIUFVV1Qn3j4iIOOGyoVVVVQoMdM+/bgAAgPtbvuuIapzGbfcvlU6zmH7wwQeaNm3aL3vEgLB6ZzebQ1ZWlqKiojR9+nQFBATo66+/lnS0dH766ae6/PLL9f777+u8886TJHXq1EkbN25U//799fHHH590nRdeeKFefPFFnXfeefL29tbWrVvVq1cvHThwQHPmzNGGDRs0btw4XXLJJbWX93z//fc1YsQIffPNN+rZs6e8vLzUs2fPOo+xatUqrV27Vqmpqbr44os1cuRIRURESDq660FiYmIzvlIAAKA1+3p7jpIiAtU7wX23vjb64KeSkhKtXr36pNdanzNnjlJSUpSSkqLc3NwmDfhLbdmyRcOGDdPAgQP17LPP1m6yj46O1tdff60+ffpow4YN+t3vfidJuvfee/XEE09oyJAhstvtJ13nrFmzlJycrEGDBqlv37763e9+J5fLpZkzZ+qf//ynkpKS9Mwzz2jmzJkyxkiSvLy8NHDgQD3wwAN6/vnnJUkjR46sva59ZWWlbrvtNs2ZM0ddunTRPffcU5tp48aNGj58uLy8Wv2xagAAoBnUOF1auitX43vHnXQrrruwmWPNqQHz5s3T4sWLa/errE9KSopSU1PrfG3nzp3q2bPnmadsBjExMcrLy2uRxxozZoyef/559e3b94Rlt956q2bMmKGUlPpnkY/tdzp27NjmjNko7jiWAADg1FbtydP1r/2ot246W+d1i7E0y8m64jGNnoL74IMP6hydj6bx8MMPq6io6JS36d27t1uUUgAA4Jm+3n5YoQE+OrtLlNVRTqlR+5gWFxdrzZo1+uijj5o7T4tpqdlSSVq2bFm9yxITExvcd/Q3v/lNEycCAABthTFGX2/P0fk9YuXr7d67BTaqmIaHh59wlDgAAADc37asEmUVV7n10fjHtFhtrqqqUiN3Z4UbMsaccGorAADg/r7eniNfb5vG9GjX8I0tdlqnizpTCQkJysjIkMPhaImHQzPx8fFRQkKC1TEAAMBp+Hp7jlK6RCs0wNfqKA1qkWIaHh6u8PDwlngoAAAA/FdGYYW2Z5fo0V/1sTpKo7j3HrAAAAA4Y4u3HT1GaHzveIuTNA7FFAAAoJVavPWwBnWMUHx4gNVRGoViCgAA0ArlllZpbVqBJvb1jNlSiWIKAADQKn29PUfGSBP6eM6ByxRTAACAVuirrYfVOyFMHaODrI7SaBRTAACAVqaowq4f9uVrggdtxpcopgAAAK3ONzty5XAZj9q/VKKYAgAAtDpfbT2sLu2C1TU2xOoop4ViCgAA0IqUVTu0Ys8RTewbL5vNZnWc00IxBQAAaEWW7cqV3eHyqKPxj6GYAgAAtCJfbj2spIhA9U0KszrKaaOYAgAAtBJVNU4t3ZmrCR64GV+imAIAALQaK/fkqcLu9Lij8Y+hmAIAALQSX27NVrtQfw3uGGl1lDNCMQUAAGgFapwufbM9Rxf1iZOXl+dtxpcopgAAAK3CD/vyVVLl8Mij8Y+hmAIAALQCX249rIggX53dJcrqKGeMYgoAAODhapwufbU1WxP6xMvX23PrnecmBwAAgKSjm/ELK2o0qb/nbsaXKKYAAAAeb9HmbEUF+2lEl2iro/wiFFMAAAAPZne49NW2w5rQN14+HrwZX6KYAgAAeLTv9+WpuLJGl/Tz7M34EsUUAADAoy3anK2YED+d7eGb8SWKKQAAgMeqdji1eNthTeybIG8PPan+z1FMAQAAPNSqPXkqrXLoEg8/Gv8YiikAAICHWrQ5W7Gh/hqa7Lkn1f85iikAAIAHqqpxasn2HF3cr3VsxpcopgAAAB5pxe4jKqtuPZvxJYopAACAR1q0JVvxYQEa3DHS6ihNhmIKAADgYapqnPpme44m9U+QVyvZjC9RTAEAADzOsl25Krc7NakVbcaXKKYAAAAeZ+HmbCVFBGpQhwirozQpiikAAIAHKa926NsdRzfj22ytZzO+RDEFAADwKF9vz1FVjUuXDUi0OkqTo5gCAAB4kAUbM9U1NkR9EsOsjtLkKKYAAAAeIr+sWiv35OlXAxJb3WZ8iWIKAADgMb7Yki2ny+iyga1vM75EMQUAAPAYCzZmaVDHCHWKDrY6SrOgmAIAAHiA9IIKrU8r1K9a4UFPx1BMAQAAPMBnm7Lk7WXTpP4UUwAAAFjEGKNPN2bq3K4xahfqb3WcZkMxBQAAcHM7D5dqd05Zq96MLzWymB44cEDnn3++evfurX79+qm8vLy5cwEAAOC/Pt2YJX8fL13YJ87qKM3KpzE3mjFjhh577DGNHDlSBQUF8vdvvVPIAAAA7sTlMvpsY6Yu6B2n0ABfq+M0qwZnTLdt2yZfX1+NHDlSkhQVFSUfn0b1WQAAAPxC69IKlVVc1eo340uNKKZ79uxRSEiILr30Ug0ePFh///vfWyIXAAAAdPQSpGEBPhrdo53VUZpdg1OfDodDK1eu1MaNGxUbG6sJEyZo2LBhGj9+fO1t5syZozlz5kiScnNzmy8tAABAG2J3uPTFlmxN6p8gfx9vq+M0uwZnTJOSkjR06FB16NBB/v7+uvjii7Vx48Y6t5k5c6ZSU1OVmpqq2NjY5soKAADQpizffURFFTW6bECS1VFaRIPFdNiwYcrNzVVhYaFcLpdWrFihXr16tUQ2AACANu2j9RlKigjU2Z2jrI7SIhospj4+Pvr73/+uUaNGqX///urWrZsuueSSlsgGAADQZhVV2PXtzhxdMThJXl42q+O0iEYdXj9x4kRNnDixubMAAADgvxZuzlaN02jyoLaxGV/iyk8AAABu6aP1GRrcMUJd2oVYHaXFUEwBAADczL4jZdqYXqQrBre3OkqLopgCAAC4mY9/ypCft5cu7d/6T6r/cxRTAAAAN+JyGX3yU6Yu6B2r8KDWfQnS41FMAQAA3Ejq/nxlFVfpyja2GV+imAIAALiVj37KVHSwn0Z1b/2XID0exRQAAMBNlFc79OXWbP1qYJJ8vdteTWt7zxgAAMBNLd52WBV2p64Y3HbOXfpzFFMAAAA38dFPGeoZH6o+iWFWR7EExRQAAMANZBVVavW+fF0xOEk2W9u4BOnxKKYAAABu4JMNmbJJunxg29yML1FMAQAALGeM0fx16RrdvZ1iwwKsjmMZiikAAIDFfjxQoIP5Fbp6WAero1iKYgoAAGCxD9amKzrYT2N7xlkdxVIUUwAAAAuVVNXoi63ZumJwkvx82nY1a9vPHgAAwGILN2WpqsbV5jfjSxRTAAAAS32wNl2DO0aoa2yo1VEsRzEFAACwyM7DJdqUUayrhjJbKlFMAQAALPP+2nQF+XnrkgGJVkdxCxRTAAAAC1Q7nPpkQ6Ym9UtQiL+P1XHcAsUUAADAAl9vz1FRRQ0HPf0MxRQAAMACH6zLUJd2wRrSKdLqKG6DYgoAANDCMosqtXLPEV09tINsNpvVcdwGxRQAAKCFfbguQ142myYPTrI6iluhmAIAALQgp8vog3XpGtszVrGhAVbHcSsUUwAAgBa0Ys8RZRZV6trhHa2O4nYopgAAAC3o7dRDSooI1Kju7ayO4nYopgAAAC0ku7hS3+3M0dThHeTtxUFPx6OYAgAAtJD31qTLy2bjEqT1oJgCAAC0AIfTpffXpmt87zjFhnHQ08lQTAEAAFrA0l1HdLikSteezUFP9aGYAgAAtIC3f0xTp+ggnXtWjNVR3BbFFAAAoJmlF1Ro+e4jmjq8o7w46KleFFMAAIBm9t7aQ/LxsmnKkPZWR3FrFFMAAIBmVON06f21GZrQN0ExIf5Wx3FrFFMAAIBm9PX2HOWVVXOlp0agmAIAADSjd348pC7tgpXSJcrqKG6PYgoAANBMDuaVa9XePF07vKNsNg56agjFFAAAoJnMS01TgK8XBz01EsUUAACgGVTYHfpgXbouH5ikiCA/q+N4BIopAABAM/hkQ6ZKqxy6YUQnq6N4DIopAABAEzPG6M3VaRqWHKk+ieFWx/EYFFMAAIAm9uOBAu3KKdX0c5KtjuJRKKYAAABN7M0fDio21F8X9Ym3OopHoZgCAAA0oeziSi3elqPrzu4kX2+q1ung1QIAAGhC7/x4SF42aerZHayO4nF8GnOj5ORkhYWFycvLS5GRkVq6dGlz5wIAAPA41Q6n3l1zSBP7Jig2NMDqOB6nUcVUklavXq2QkJDmzAIAAODRvtxyWHlldk0/h1NEnQk25QMAADSRN344qD6JYRrcMdLqKB6pUcXUZrNp9OjRGjZsmN5+++3mzgQAAOBxNmcUacOhIk0/J1k2m83qOB6pUZvyV61apaSkJGVnZ+uCCy5Qv3791L9//9rlc+bM0Zw5cyRJubm5zZMUAADAjb3+/UFFBPnqsgGJVkfxWI2aMU1KSpIkJSQk6OKLL9ZPP/1UZ/nMmTOVmpqq1NRUxcbGNn1KAAAAN5ZbUqWFm7N03dkdFeDrbXUcj9VgMS0vL1dpaakkqaysTN9995369OnT7MEAAAA8xZs/pEmSpo1ItjaIh2twU35OTo4mT54sSXI6nZo1a5aGDRvW7MEAAAA8QaXdqbd/TNMl/RMVF8Ypon6JBotply5dtGnTppbIAgAA4HE+3pChwooa3XReZ6ujeDxOFwUAAHCGXC6j/6w6oOGdo9Q3KdzqOB6PYgoAAHCGlu85on1HypktbSIUUwAAgDP0n1UH1Ck6SBf0irM6SqtAMQUAADgDuw6XauWePN14TrK8vTihflOgmAIAAJyB11btV2iAj349tIPVUVoNiikAAMBpyiur1oKNWZo6vKOC/Rt1IU00AsUUAADgNL2Vmiany2j6OclWR2lVKKYAAACnoarGqXk/pGlC33glRQRaHadVoZgCAACchg/XZyi/3K5bRnWxOkqrQzEFAABoJKfL6NWV+3XOWdHq3z7C6jitDsUUAACgkb7aelhp+RW6ZfRZVkdplSimAAAAjWCM0UvL96lXQphGdYuxOk6rRDEFAABohB/25WtLZrFuHd1FNhsn1G8OFFMAAIBGeGnFfiVFBGpSvwSro7RaFFMAAIAGbMsq1ordRzRrZGf5eFOfmguvLAAAQANeWbFfEUG+umoYlx9tThRTAACAU0gvqNDnm7M1bUSygvy4/GhzopgCAACcwmurDsjX26bpIzpZHaXVo5gCAADUo6DcrvfXpuuqoR0UHeJvdZxWj2IKAABQj7nfH5Dd6dKskVx+tCVQTAEAAE6iuLJGr39/UL8amKgOUUFWx2kTKKYAAAAnMe+HgyqzO3T7mK5WR2kzKKYAAADHqbA79NqqA7q4X4K6xoZYHafNoJgCAAAc550fD6mwokZ3ns9saUuimAIAAPxMVY1TL6/Yrwt6xapXQpjVcdoUiikAAMDPzF+XriOl1bqD2dIWRzEFAAD4rxqnSy8t36+R3WI0qGOk1XHaHIopAADAf32yIVOZRZXsW2oRiikAAIAkp8voxaV7NTw5Smd3ibY6TptEMQUAAJD0+eYsHcyv0B1jmS21CsUUAAC0eU6X0b++3aMB7cM1qluM1XHaLIopAABo8xZuytK+I+X63fjustlsVsdpsyimAACgTXM4XfrXt3s0qGOERndvZ3WcNo1iCgAA2rRPN2Zpf1657mW21HIUUwAA0GY5nC7967s9GtopUud1Zd9Sq1FMAQBAm/Xxhkyl5VcwW+omKKYAAKBNqnG69Nx3ezS8c5RGnMV5S90BxRQAALRJH63PUHpBJbOlboRiCgAA2hy7w6Xnvturc86KVgpXeXIbFFMAANDmzF+frsyiSv1ufHero+BnKKYAAKBNqapx6vnv9uq8rjEalhxldRz8DMUUAAC0KW+lpim7uEr3X9TD6ig4DsUUAAC0GaVVNXph6V5d1CdOAztEWB0Hx6GYAgCANuPVlQdUXFmj+y9kttQdUUwBAECbkFdWrddW7tcVg9urW1yo1XFwEhRTAADQJrywdK9qnEa/vaCb1VFQj0YX04qKCnXq1En3339/c+YBAABochmFFXo79ZCuS+mo9pFBVsdBPRpdTP/2t78pJSWlObMAAAA0i2e/2SMfb5vuOL+r1VFwCo0qpnv27NHOnTs1ceLE5s4DAADQpPbklOrjnzI0c2QXxYT4Wx0Hp9CoYnr//ffr8ccfb+4sAAAATe6pJbsUHuirWSM7Wx0FDWiwmH766afq3r27unev/5Jdc+bMUUpKilJSUpSbm9ukAQEAAM7UT4cKtXhbjm4f01WhAb5Wx0EDfBq6QWpqqt577z3Nnz9fZWVlqqmpUVhYmB5++OHa28ycOVMzZ86UJPZDBQAAbsEYo78t2qGkiEDdMKKT1XHQCA0W08cff7x2M/7rr7+urVu31imlAAAA7mjxtsNan1aof14zUAG+3lbHQSNwHlMAANDq2B0u/e+XO9W/fbgu7Z9odRw0UoMzpj83Y8aMZooBAADQdN7+MU0H8yv03s0p8vKyWR0HjcSMKQAAaFWKK2v0r2/3aHzvOKV0ibY6Dk4DxRQAALQqLy7bq5Iqh/44safVUXCaKKYAAKDVSC+o0NzvD+q6szvqrHYhVsfBaaKYAgCAVuOpJbvk5+2le8Z1szoKzgDFFAAAtAqbM4r06cYs3TbmLEVz6VGPRDEFAAAezxij/1m4XYnhAbrpPC496qkopgAAwOMt3JytdWmFevDiXpxM34NRTAEAgEersDv0+Bc7NCw5Upf0T7A6Dn4BiikAAPBoLy3fr8MlVZp9aR/ZbJxM35NRTAEAgMfKKKzQy8v36eqhHdQ3KdzqOPiFKKYAAMBjPf7lTvl5e+n+i3pYHQVNgGIKAAA80o/787Voc7buuaCbYjg9VKtAMQUAAB7H6TJ6ZOF2dWkXrGkjkq2OgyZCMQUAAB7n/bXp2pFdor9c0lt+PtSZ1oKRBAAAHqWw3K6nluzSmB7tdH6PWKvjoAlRTAEAgEd5YvEulVU5NPvSPlZHQROjmAIAAI+xMb1I7609pFvHnKXOMcFWx0ETo5gCAACP4HQZPbRgi9pHBur2MWdZHQfNwMfqAAAAAI3xzo9p2ppZov/MGKoAX2+r46AZMGMKAADcXl5ZtZ5cvEvje8dpbM84q+OgmVBMAQCA23v8i52yO12afWlvq6OgGVFMAQCAW1tzoEAf/ZShu8Z2U/vIIKvjoBlRTAEAgNuqcbr0lwVb1SUmWDNHdrY6DpoZBz8BAAC39dqqA9qVU6q3bjpb/j4c8NTaMWMKAADcUlp+uZ79ZreuGJSk87rFWB0HLYBiCgAA3I4xRg8t2KpAX2/9eVIvq+OghVBMAQCA2/lkQ6ZW7snTXy7pregQf6vjoIVQTAEAgFspKLfr0c+367yuMZo8KMnqOGhBFFMAAOBWHlu0XRV2p/42ua9sNpvVcdCCKKYAAMBtrNqTp49/ytRvL+iuTtHBVsdBC6OYAgAAt1Bpd+pPn2xRr4QwzlnaRnEeUwAA4Bae/Wa30gsrtOD2c+XrzdxZW8SoAwAAy204VKhXV+7XTed21oAOEVbHgUUopgAAwFJVNU498OFmdYoO1n0X9rA6DizEpnwAAGCpf367R/uOlOmDW0Yo0I/LjrZlzJgCAADLbEov0svL92nGOckalhxldRxYjGIKAAAsUe1w6oEPN6lDVJAeuIhN+GBTPgAAsMhz3+7V7pwyvX9zioL8qCRgxhQAAFhgS0ax/v3fTfhnd4m2Og7cBMUUAAC0qKoap+6fv0mJEQH6/QQ24eP/Y94cAAC0qKe/3q3duaV6dxab8FEXM6YAAKDF/LAvX6+u3K+bR3ZRCpvwcRyKKQAAaBElVTW6f/4m9YgL1b0Xdrc6DtwQ8+cAAKBFPPLZNh0prdac6UPl78OJ9HEiZkwBAECz+2JLtj7+KVP3X9RdvRLCrI4DN0UxBQAAzSq3pEp/+mSLzu4cpZvO62J1HLixBotpUVGRhg4dqoEDB6pv37569dVXWyIXAABoBYwxeuDDzXI4jf7vqgHy9rJZHQlurMF9TENDQ7VixQoFBQWpvLxcffv21RVXXKHoaI6kAwAAp/bWj4e0fPcR/d+vB6h9ZJDVceDmGpwx9fb2VlDQ0W+k6upqGWNkjGn2YAAAwLPtOlyqxz7frol943XF4CSr48ADNGof06KiIg0YMEDt27fXAw88oJiYmObOBQAAPFil3am73v1J0cF+evyKfrLZ2ISPhjWqmEZERGjTpk06cOCA3nnnHeXk5NRZPmfOHKWkpCglJUW5ubnNEhQAAHiORxdt197cMv1z6iBFBPlZHQce4rSOyo+Li9OAAQO0cuXKOl+fOXOmUlNTlZqaqtjY2CYNCAAAPMuXW7L1zo+H9NsLumtYcpTVceBBGiymOTk5Ki0tlSQVFxdrxYoV6tGjR7MHAwAAniejsEJ/+GizUrpE6Y7zu1odBx6mwaPy09LSdPPNN9ce9HTXXXepX79+LZENAAB4EIfTpXve2yhvL5uevXoQp4bCaWuwmA4fPlwbN25sgSgAAMCTPfvNHq1PK9Rr04cqPjzA6jjwQFz5CQAA/GKr9+bphWV7deO5yRrXK87qOPBQFFMAAPCL5JZU6e73Nqp3Qpj+OLGn1XHgwSimAADgjDmcLt357gZVO5x68brB8vfxtjoSPFiD+5gCAADU58klu7TmQIFeuWGIOkUHWx0HHo4ZUwAAcEaWbDusl5fv1y2juujCPvFWx0ErQDEFAACnLS2/XPfN36ThnaP0wEWc3xxNg2IKAABOS1WNU7e+9ZP8fbz1/NRB8vGmTqBp8J0EAABOy+xPt2nX4RI9N3WQYsM4XymaDsUUAAA02gdr0/X+unQ9cFFPjTgr2uo4aGUopgAAoFE2HCrUQwu2anzvON0yqovVcdAKUUwBAECDckuqdOtb69UxOkhPXzVAXl42qyOhFaKYAgCAU6p2OHXLW+tVYXfqlRuGKDTA1+pIaKU4wT4AAKiXMUYPL9imjelFmjtjmLq0C7E6EloxZkwBAEC93kpN0/vr0vX7i3pqTI9Yq+OglaOYAgCAk/pxf77+unC7Lh2QqFtHc7ATmh/FFAAAnCCzqFK3v/2TuseF6okr+8tm42AnND+KKQAAqKOs2qGbXl8rI+mVaUMU6OdtdSS0ERRTAABQy+kyuvvdDdp/pFwv3zBE7SODrI6ENoSj8gEAQK3HFm3Xdztz9ezVAzUsOcrqOGhjmDEFAACSpHmpaZr7/UHdPbarLh+UZHUctEEUUwAAoOW7j+iRz7bp0gGJ+t347lbHQRtFMQUAoI3bnVOqO9/+Sf3bh+vJKRyBD+tQTAEAaMPyyqr1m9fXKizQV6/cMFQBvhyBD+tQTAEAaKPKqx36zetrVVxRo//MGKZ2of5WR0Ibx1H5AAC0QTVOl+545yftyC7RGzcOV4/4UKsjARRTAADaGmOM/vTxFi3bdUT/mjpI53SNsToSIIlN+QAAtDlPf71b89dn6KFJvXTZgESr4wC1KKYAALQhb6Wm6bnv9mrmeZ01c2QXq+MAdVBMAQBoIxZvO6yHP92qSwck6k8X97I6DnACiikAAG3A2oMFuvvdDTq7c7Se+nV/eXlxrlK4H4opAACt3NbMYv1m7lp1aReil6cNkb8P5yqFe6KYAgDQiu3NLdO0/6xRu1B/zbtpuMICfK2OBNSLYgoAQCuVUVihG177UYG+3npr5tmKCeEE+nBvFFMAAFqh3NIqXT/nR9U4XZp303AlRgRaHQloEMUUAIBWpqjCrmmvrVFBuV1v/uZsdWkXYnUkoFG48hMAAK1IebVDM+auVVp+hd6aebZ6J4ZZHQloNGZMAQBoJSrsDt04d622Z5XolWlDNKRTpNWRgNNCMQUAoBWotDv1m9fXakN6oV66YbBGdmtndSTgtFFMAQDwcJV2p256Y63WpxXq39cN0diecVZHAs4IxRQAAA9WVePUrDfXac2BAj1/7WBd0JtSCs/FwU8AAHioqhqnbp63Xj/sz9fzUwfpoj7xVkcCfhFmTAEA8EDVDqdue2u9vt+bp39dM0gT+yVYHQn4xZgxBQDAw1Tanbp53jp9vzdPz1w9UJP6U0rROlBMAQDwIGXVDs18Y63WHSzUc1MHU0rRqlBMAQDwEMWVNbpx7hptzSzRS9cP4UAntDoUUwAAPEBhuV03/OdH7c0t05zpQzWqO+cpRevT4MFP6enpGjNmjHr37q3+/ftr/vz5LZELAAD815HSak19NVX7j5Tr9RuHU0rRajU4Y+rj46Nnn31WAwcO1OHDhzVkyBBdfPHFCg4Obol8AAC0aVlFlbr+tR91pKRa8246m8uMolVrsJgmJCQoIeHojtXx8fGKiYlRQUEBxRQAgGa2N7dUN7y2RlU1Tr0zK0X92odbHQloVqd1HtP169fL6XSqQ4cOzZUHAABI2nCoUFNe+kFeNpvm33oOpRRtQqMPfiooKNC0adP06quvnrBszpw5mjNnjiQpNze36dIBANAGLd99RLfOW6/2kYF686bhSggPtDoS0CJsxhjT0I2qq6s1fvx4zZo1SzfccMMpb5uSkqLU1NQmCwgAQFvy6cZM3T9/k/olhes/M4YpIsjP6khAkzpVV2xwxtQYoxkzZmjs2LENllIAAHDm3lh9UI8s3KbR3dvpxesGK8iPszqibWlwH9Pvv/9e77//vhYsWKCBAwdq4MCB2rJlS0tkAwCgTTDG6KnFuzT7s2361YBEvTptKKUUbVKD3/XnnXeeXC5XS2QBAKDNqXY49fsPN+vTjVm66bzO+vPFveTlZbM6FmAJ/hwDAMAiRRV23TxvvdYdLNBfL+uj6eckWx0JsBTFFAAAC6Tll+vG19cqu6hKr9wwlOveA6KYAgDQ4tanFWrWm+vk7WXTB7eM4BylwH9RTAEAaEFfbMnW797fqE7RQZp743AlRXCOUuAYiikAAC3AGKMXlu7VU0t267yuMXrx+sEKC/C1OhbgViimAAA0s0q7Uw98uEmfb87WdWd31COX9ZGv92ldFRxoEyimAAA0o6yiSs16c512HS7VY5f31fUpnayOBLgtiikAAM1k3cEC3frWejldRm/NPFspXaKtjgS4NYopAADN4P21h/TQgq06q12IXp02VB2igqyOBLg9iikAAE3I7nDpb4u2640f0jShT7z+76oBCvbn1y3QGLxTAABoItnFlbrj7Z+0Ib1Iv72gm+4e243LiwKngWIKAEATWL03T3e9u0EOl9F/ZgzT+T1irY4EeByKKQAAv4DLZfTSin16avEu9UkM14vXDWZ/UuAMUUwBADhDxZU1uu+DTfpmR46mDu+g2Zf2UYCvt9WxAI9FMQUA4AxszSzWHe/8pMPFVXpiSn9dNbSD1ZEAj0cxBQDgNBhjNPf7g/rfL3cqISJAH912jvomhVsdC2gVKKYAADRSQbldv/9wk77ZkatfDUzUY5f3VSjXuweaDMUUAIBGSN2fr9++t1HFlTV6Ykp//XpIe9lsnAoKaEoUUwAATsHpMnruuz3617d71D0uVG/NHK6usaFWxwJaJYopAAD1SC+o0H0fbNKagwW6IaWT/jypF0fdA82IYgoAwHGMMZq/PkN//Wyb/Hy89NL1QzShb7zVsYBWj2IKAMDP5JdV68GPt2jJ9hyd36Od/jGlv2JDA6yOBbQJFFMAAP7r2x05+sNHm1Ve7dTfJ/fT1OEdOMAJaEEUUwBAm1dW7dDfFm3Xu2vSNahjhJ65aqCSY4KtjgW0ORRTAECbtnz3Ef3p4y3KKanSfeO767YxZ8nH28vqWECbRDEFALRJxRU1emzRds1fn6E+iWF6ddpQ9U4MszoW0KZRTAEAbc7X23P050+2qKiiRg9c1EM3j+oiX2ZJActRTAEAbUZ+WbX+unC7PtuUpUEdI/TOrLM5WT7gRiimAIBWzxijTzdm6dHPt6vc7tBDk3rpxnM7y9uLI+4Bd0IxBQC0avuOlOkvC7Zq9b58jegSrcev6McR94CbopgCAFqlqhqnXly2Ty8t26fQAB89c/UAXT4wifOSAm6MYgoAaHVW7jmivyzYqoP5Fbr27I76w0U9FR7ka3UsAA2gmAIAWo3ckio9tmiHPtuUpZ7xofrotnM0pFOk1bEANBLFFADg8aodTr226oBe+G6vjKSHJvXSjHOSOVE+4GEopgAAj2WM0Tc7cvXYou1Ky6/Q5QMT9ceJvRQfHmB1NABngGIKAPBIe3JK9T+fb9fKPXnqlxSuj24boSGdoqyOBeAXoJgCADxKcUWNnv12t978IU2RQb564sr+mjKkvbw4Jyng8SimAACPUO1wat4PaXruu70qr3boN+cm665x3RQWwNH2QGtBMQUAuDWXy2jh5iw9uXiXMgorNbFvvB64qIe6tAuxOhqAJkYxBQC4rdV78/T3L3doa2aJhnaK1D+vGcTpn4BWjGIKAHA7Ow+X6H+/3Kllu46oS7tgvXzDEF3YO46rNgGtHMUUAOA29h8p07++3aNPN2UpOthff5vcV1cP7cD5SIE2gmIKALBcekGF/vntHn2yIVNBft763QXdddN5nRXsz68poC3hHQ8AsExWUaWe+26v5q9Ll7+Pl24fc5ZmnteF69oDbRTFFADQ4nJLqvTC0r16d026vL1sumlkZ90y6ixFBftZHQ2AhRosppMnT9ayZcs0btw4ffjhhy2RCQDQSmUUVuiVFfv13tp0SdINIzrp1tFnqV2ov8XJALiDBovpPffco9/85jd64403WiIPAKAV2nekTP9etk8LNmTKx9um687uqFtGncU17QHU0WAxHTNmjJYtW9YCUQAArc32rBK9sGyvvtiSrRA/H90yuot+c25nRYcwQwrgROxjCgBoUsYY/XSoUC8u3advd+YqKthP943vrhtGJCs8kIOaANSvSYrpnDlzNGfOHElSbm5uU6wSAOBhHE6XFm/L0asr92tjepHiwvz1l0t6a+rwDgryYx4EQMOa5CfFzJkzNXPmTElSSkpKU6wSAOAhyqoden9tuuZ+f0AZhZXqGR+qp349QJcOSJC/j7fV8QB4EP6EBQCckayiSr2++qDe/fGQSqsdGt29nf73iv46t2s0lw4FcEYaLKYXXHCBNm3apPLycrVv317z58/XiBEjWiIbAMDNHNt/9I3VafpiS7a8bDZNHpSkm0Z2Vve4UKvjAfBwDRbTb775piVyAADcWKXdqU83ZurNH9K0PbtE0cF+un3MWbphRDLnIAXQZNiUDwCo18G8cs1LTdP8dekqqXJoUMcIPXP1AF3cj/1HATQ9iikAoA6ny2jpzly9mZqmFbuPyN/HS78amKhpI5LVNync6ngAWjGKKQBAkpReUKEP1qVr/roMHS6pUqfoIP354l769dD2igjiGvYAmh/FFADasKoap5Zsz9EHa9O1am+efL1turB3vK4a1kEju8bIy4uj6wG0HIopALRBOw+X6L016VqwMVNFFTXqGhuihyb10uRBSVwuFIBlKKYA0EYcKa3Wwk1Z+mRDprZkFivQ11uXDkjQ1cM6anDHCM49CsByFFMAaMUq7U4t2X5Yn2zI1Mo9eXK6jIYnR+nxK/rpkv4JCg3g2vUA3AfFFABaGafLKHV/vj7+KVNfbc1Wud2pLu2C9bsLuulXA5PUISrI6ogAcFIUUwBoBYwx2phepEWbs/X55mwdLqlSdLCffj20g64YnKR+SeFsqgfg9iimAOChjDHanFGsRVuytWhztjKLKhXk561xveI0eVCiRnZrJ19vL6tjAkCjUUwBwIMYY7Q1s0Sfb8nSos3ZyiisVKCvt8b2itVDk3ppTI9YBfpxRSYAnoliCgBuzuky2nCoUEu252jxtsNKy69QgK+XxvaM1YMTe+n8nu0U5MePcwCej59kAOCGqmqc+n5vnpZsy9E3O3KUX25XoK+3Rndvp/sv7KGxPWMV7M+PcACtCz/VAMBNFFXY9d3OXC3ZlqPlu4+ossapmBA/XdArThf2idO5XWMU4MtmegCtF8UUACxijNGunFIt23VEy3blau3BQjldRsnRQZo2opPG947ToI6R8uayoADaCIopALSgsmqHVu3J0/LduVq264iyi6vkZZMGdYzUveO768LeceoaG8KpnQC0SRRTAGhGxhjtzinTsl1Hi+i6tALVOI1iQvw0qns7jekRq1HdYhQR5Gd1VACwHMUUAJpYTkmVvt+bp+/35mv1vjxlF1fJZpMGdYjQXWO7aUyPduqbGC4vNtEDQB0UUwD4hYora/Tj/vyjZXRfvvbmlkmSEsIDdG7XGI3sFqNR3dopMphZUQA4FYopAJymSrtTPx0q1Op9eVq1N19bMorkMlJ4oK9GdInW9HOSde5Z0eocE8y+ogBwGiimANCA4ooarUsr0JqDBVpzoEBbMorlcBn5+3hpeOco/X5CT517Vox6J4ZxBD0A/AIUUwA4Tm5pldYeKNSaA/lac7BQOw+XyBgpyM9bQzpF6p5x3TSsc5QGdojgvKIA0IQopgDaNKfLaHdOqTYcKtKGQ4Van1ao/XnlkqSIIF8NS47SlYOTNCw5Sn0Sw+Tj7WVxYgBovSimANqUvLJqbTxUpA3phdpwqEib0otUbndKkpIiAjW4U6RuPK+zhidHqVtsCEfOA0ALopgCaLWqapzadbhUG9OPzob+dKhIhwoqJEkBvl7q3z5C14/opEEdIjWoY4TiwgIsTgwAbRvFFECrUGV3aGd2sbZmFWtrRrG2ZhZrd26ZHC4jSUqOCtSwjpG6+byOGtghUj3iQ+V7/GZ5l9OC5ABgIZuX5EZnD6GYAvA4VZUVOrhzvQr2rZcra7PCS3YquWa/BtoqNfDnN/z5aUMrJO387wcA4Kibl0uJA61OUYtiCsBtGZdLeYcPKXvXOlWkb5JP3nZFl+1Re2eGetqOzm4WKkzZgd20J36Kwtq1V0J4gIL9+NEGAI0Slmh1gjr46Q3ALVRVlCl99wYV7t8g1+GtCi3aqUT7frVTqdpJchqbMryTlBfUVTkxkxTcaZDa9xyuyPhOinSjzVAAgDNHMQXQoqoqy5W1b4sK07aoJnuH/Ir2KLpiv9o7M9XNdnR/0CKFKNPvLO2KnSivhH6K7DxIHboPUqegEHWyOD8AoPlQTAE0i9LiAmXt26KSQ1vkyNmhwOJ9ald5QPGuHHX5bwGtMr7K8OmgvJCeyo65QkEdByix+1BFx3dUhBfnCwWAtoZiCuCMOR0OHT60R/mHtqvy8G4pf68CSw8otipN8cpTj//erswEKsu3g7LCByk9qpsCEvsopnN/JXTqrq4+/BgCABzFbwQAp+RyOpWTsU95h3aoPHu3TP4+BZYcUFR1uuKdh5Vkcyrpv7fNU4Ry/drrUPS5SovprqCkPorrMkDtEpPVnRlQAEADKKYAVFleqtxDu1WUvUdVuQdkCtPkX3pIEVXpSnBmK8FWo4T/3rZIIcrxSVJOaB9lRlwq39iuCk/qqbjOfRQTHqUYS58JAMCTUUyBNqDGXq3cjH0qyNyjitz9cuUflG9pukIrMxXtOKwYFamTVHtgUaFClecTr4LgrsqJuFA+7boqLKmn4pP7KCI6VhEWPhcAQOtFMQU8nHG5VFyQq/ys/SrNTVN1/iG5ijPkW5aloKrDirTnqJ3JV5LNVbvJvcL4K8c7XsUBidob2U97IzvJP6azwhO7qV2HbooMj1Kkpc8KANAWUUwBd2aMSksKlZ91QMU5B1WVf0iuwgz5lGUqsDJb4fZcxbjyFGGz15nFLDWByvdup2K/OKVHjVBaeCf5tktWaHxXtevQXRHR8erMPp8AADdDMQUsYFwulZQUquhwmkrzMlRVkClHcbZUeli+lbkKrD6isJp8RbkKFGqrVujP7ltlfHXEq52K/WJ1OHyAMkMS5RXRXgHRHRUWn6zoxC4KDY+qcx8AADwBxRRoQlWV5SrKy1ZpfrYqCg/LXpwjR8lh2Upz5FeZo8DqPIU68hXtKlC4za7wn93XZWwqtIWpyDtKZb4xR0+tFBwvr7B4+Ud1UGhcJ0UndFF4dJw6eHmpg2XPEgCA5kExBU7B6XCoqCBHJXnZKi/IVlVxjhwluTJlR+RVmSe/qnwF1hQqxFGocFeRQm2VipcU/7N1HC2c4Sr0jla5X7SyQjsrIyhOtrAE+UcmKii6vcJj2ysqtr2i/fwVbdWTBQDAYhRTtBlVleUqKchVeVGuKoryVF16RI6yfLnK86XKQnlVFcnPXqSAmiIFOksU6ipRuClVtM2cUBbLTYCKvMJV5h2pCr8olYR0UXpQjGzBMfIJjVVARLyCo+IVGp2gyJgERfv4UjgBAGgAxRQepcZerbLiAlWUFqiipEDVpQWylxfKUV4kV2WRzH8Lpm91ofxqihXoKFaIs0ShpkxBtmoFnGSdTmNTiS1EZbZQlXuHq8o3XCVBHXU4IEImOFZeoe3kHx6rwIgEhUbHKyImUcHBoQpu8WcPAEDrRjFFi3E5naooL1FlWbEqSotUXV6k6rJC2cuK5KwoPFosq4rlVV0ib3uJfGtK5ecoVaCzTEGuMoWYcgXZqhUp1Xsqo3IToBJbqMq9w1TpE6aioGTl+UfKBERKQVHyDo6WX2i0AsJiFBwRq9CoWIWGRyvS25vTIwEAYDGKKU6pxl6titIilR8rkuUlsleUyFFZImdliZxVpTLVpZK9TF72MnnXlMnbUSE/R7n8XBXyd1Uo0FWhIFOpYFuVQiSFnOLxykygymzBqvQKUaV3iKp9w1UemCSnX5hcAeGyBYTLKzBCPsER8guOlH9olAJDIhUcHq2Q8CgF+/kzkwkAgIeimHo4p8OhivISVVeWqbqiVNUVZbJXlclRWSZHVbkc1WVyVVfIZS+XsZdLNZWy1VTIVlMhb0eFvJ1V8nZWytdZKV9XtfxdlfI3VQpQtQJMtfxsDoVLdY4eP16N8VaFLUAVClKVV5CqvYJk9wlSqW+CCn1D5PINlvELkfxD5eUfIu/AMHkHhMo3KEwBodEKCotWcFikgsMiFeLrd8riCgAAWi+KaRMxLpdqauyqqiyXvapC9qoK1VRXqqaqXA57pRzVFXLaK+S0V8llr5Sr5ui/clTJ1FRJjkrZHNWyOavk5aiWl7NK3q5qeTur5eOqlo+xy/e///oZu/xVrQBjl7+tRqFSo85Z6TI2VcpfVTZ/VdsCVG0LkN0rQA6vAFX7hKnCJ1BO70AZ3yC5fIIkvyDZ/ILkFXC0SPoEhsk3KEz+QWEKCIlUYEiYgkIj5O8fqHAvr1OWVwAAgIY0qph+/vnnuu++++RyufSHP/xBM2fObO5cjeaosSsnfY8c9mo57FVy2KvkdNjltFfL5aiWs6ZaLkeVTI1dxlEt4/zvv45qyVkjOaplc9qPfrjssjlr5OWyy+aqkbfLLi+XXd7GIW+XXT6mRt6mRj6mRj7GIV/VHP0wDvmpRn42I78zeA7VxlfVNl/Z5Se7zU81Nn/V2Pzk8PKXw8tPdp8QVXr7y+XlL5dPgIy3v4yPv+QbLPkFy+YXKC+/YPn4B8srIES+/sHyCwyRb2Co/INCFBAYooDgUPkHBCnYy4tN3QAAwC01WEwdDofuvfdeLV26VOHh4RoyZIgmT56s6Gj3OPlNUX6Okt4857Tv5zI22eWjGvmoxna0YjpsPnLY/OSw+cr53/87vXxV4x2oat9wubx85fLyk/H2k/HyPVoQvf0kbz/Jx08230B5+QYc/dcvUN6+gfL2D5S3X6B8/YPk6x8o34Ag+fkHyS8gSP6BR//v7+0t/2Z4bQAAADxJg8V0zZo16tOnj5KSkiRJEydO1JIlSzR16tRmD9cYYZHt9NPZz8rLN0BePn7y9g2Qt6+fvP0C5OMXIB9fP/n4BRwthb7+8vUPkJ9/oLy9fRTg5XXS0wcBAACg5TVYTLOysmpLqSQlJSUpMzOzWUOdDj//AA2eeKPVMQAAAPALNcnBT3PmzNGcOXMkSbm5uU2xSgAAALQxXg3dIDExsc4MaWZmphITE+vcZubMmUpNTVVqaqpiY2ObPiUAAABavQaL6fDhw7V161ZlZmaqrKxMX375pS666KKWyAYAAIA2pMFN+T4+Pvq///s/nX/++XK5XPr973/vNkfkAwAAoPVo1D6ml112mS677LLmzgIAAIA2rMFN+QAAAEBLoJgCAADALVBMAQAA4BYopgAAAHALFFMAAAC4BYopAAAA3ALFFAAAAG6BYgoAAAC3QDEFAACAW6CYAgAAwC1QTAEAAOAWKKYAAABwCzZjjGnKFcbFxalz585NucpGyc3NVWxsbIs/LpoX49o6Ma6tF2PbOjGurZNV43rgwAHl5OScdFmTF1OrpKSkKDU11eoYaGKMa+vEuLZejG3rxLi2Tu44rmzKBwAAgFtoNcV05syZVkdAM2BcWyfGtfVibFsnxrV1csdxbTWb8gEAAODZWs2MKQAAADwbxRQAAABuweOKaXp6usaMGaPevXurf//+mj9/viRp3759Gjp0qLp27apbb71V7KHgeeob28cee0wdO3ZUTEyMxQlxJuob12uvvVY9evRQ37599eCDD1qcEqervnGdOnWqBgwYoL59++q2226Ty+WyOClOV31je8yUKVM0dOhQi9LhTNU3rjNmzFCXLl00cOBADRw4UPv27bM2qPEwWVlZZsOGDcYYY7Kzs01iYqIpKyszV155pVm4cKExxtT5PzxHfWO7Zs0ak5WVZaKjo60NiDNS37h++eWXxuVyGbvdbkaNGmW+/fZba4PitNQ3rsXFxcYYY1wul5kyZYr5+OOPLUyJM1Hf2BpjzJIlS8xVV11lhgwZYmFCnIn6xnX69Olu1Zk8bsY0ISFBAwcOlCTFx8crJiZGBQUFWr16tSZNmiRJuv7667Vw4UILU+JM1De2w4YNU0JCgrXhcMbqG9cJEybIZrPJ19dXAwcOVGZmprVBcVrqG9ewsDBJktPpVHV1tWw2m4UpcSbqG9uamhr9/e9/10MPPWRtQJyR+sbV3XhcMf259evXy+l0KjAwUFFRUbU/AJOSkvgl5+GOjW2HDh2sjoImdLJxLS0t1aJFizRmzBjrguEXOX5cp0yZori4OIWEhOiyyy6zOB1+iZ+P7dNPP63p06crNDTU6lj4hY5/z95///0aMGCAHnzwQTmdTkuzeWwxLSgo0LRp0/TKK69YHQVNjLFtnU42rsYYzZgxQ7fddht/hHiok43rhx9+qOzsbBlj9O2331qYDr/Ez8c2MzNTS5Ys0fTp062OhV/o+Pfs448/rh07dujHH3/U/v379dJLL1mazyOLaXV1tS6//HL98Y9/1DnnnKPo6GgVFBTUHvCUmZmpxMREi1PiTBw/tmgd6hvXP/zhD4qMjNR9991nYTqcqVO9X/38/DR58mR9+umnFqXDL3H82G7cuFHbt29X586ddd5552nLli26+OKLrY6J03Sy92xCQoJsNpsCAgI0bdo0rV271tKMHldMj82wjB07VjfccIMkyWazKSUlRYsWLZIkvf3227r00kutjIkzcLKxheerb1xfeuklbdiwQf/+978tTIczdbJxrampUVpamqSj+5h+/vnn6tmzp5UxcQZONraTJk1Sdna2Dh48qFWrVqlfv3764osvLE6K01Hfz+Ls7GxJksvl0meffaY+ffpYFVGSB175adWqVRo1apT69+9f+7V58+YpICBA11xzjYqKijRu3Di99NJL8vLyuN7dptU3th988IHmzp2r7OxsJSQk6N5779W9995rYVKcjvrGddCgQercubOCg4MlSffcc49uvPFGq2LiNJ1sXN944w3deuutKisrkzFGY8aM0bPPPisfHx8Lk+J01fee7devnyTp4MGDmjJlitatW2dVRJyB+sb1nnvuUV5enlwul1JSUvTCCy/I39/fspweV0wBAADQOjGlCAAAALdAMQUAAIBboJgCAADALVBMAQAA4BYopgAAAHALFFMAAAC4BYopAAAA3ALFFAAAAG7h/wFCLpvWiiTR3wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(20, 25, num=1000)\n",
    "expected_y = np.exp(x)\n",
    "y = spu_exp(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Natural Exponential(Pade Approximation) - Incorrect\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected exp(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu exp(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hyperbolic Tangent\n",
    "\n",
    "SPU uses Pade Approximation for implementation. The parameters refer to [Wolfram](https://www.wolframalpha.com/input?i=Pade+approximation+tanh%28x%29+order+5%2C5).\n",
    "The valid input range is about **(-5,5)**.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 840x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_tanh = pps.sim_jax(simulator, jnp.tanh)\n",
    "x = np.linspace(-15, 15, num=1000)\n",
    "expected_y = np.tanh(x)\n",
    "y = spu_tanh(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig.suptitle(\"Hyperbolic Tangent\")\n",
    "(line1,) = ax.plot(x, expected_y, label='expected tanh(x)')\n",
    "(line2,) = ax.plot(x, y, label='spu tanh(x)')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binary Operator\n",
    "\n",
    "### Div\n",
    "\n",
    "SPU uses Goldschmidt's method to calculate division. Please refer to [Secure Computation With Fixed-Point Numbers](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.221.1305&rep=rep1&type=pdf) for details.\n",
    "\n",
    "So we have a similar valid input range to **b**, which is **(-2\\*\\*fxp_fraction_bits, 2\\*\\*fxp_fraction_bits)**. Please check details at **reciprocal** part."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Besides, We do find some subtle pitfalls in real applications:\n",
    "\n",
    "1. Overflow when numerator is large.\n",
    "\n",
    "2. Some gap between numpy output.\n",
    "\n",
    "**Rule of thumb**\n",
    "\n",
    "We recommend users to try some actions if you come across \"strange\" outputs:\n",
    "\n",
    "1. If **huge error** occurs(maybe even **opposite sign**):\n",
    "   - It's common that numerator is **too large**, which leads to overflow.\n",
    "   - Try **Larger** field(`FM128`) first. Larger field can accommodate larger number when fxp is fixed, so overflow can be avoided. But it will drag down the efficiency of **nearly all op** dramatically.\n",
    "   \n",
    "2. Else, if the gap is not very significant, you can try to modify another two parameters:\n",
    "\n",
    "    a. Enlarging `fxp_fraction_bits`: it is an essential parameters for fixed-point arithmetic and will influence all the op associated with float-point. For fixed field, larger fxp can support more bits for fraction part which may give more precision. However, larger fxp will occupy the bits for integer part, and makes **overflow** easier.\n",
    "    \n",
    "    b. Enlarging `fxp_div_goldschmidt_iters`: the precision of Goldschmidt's method depends on iter numbers. So if you eager to more precise output, you can enlarge this parameter. But it's worthy to note that:\n",
    "      - Larger this parameter, larger the cost of `Div` and all op containing it(like `Log` and `Tanh`).\n",
    "      - The final precision is also influenced by field, fxp and even method for truncation. We only recommend to adjust this when you really care about the **high precision**(low absolute error) and other methods not work.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some test case\n",
    "x = np.array([[423871654, 423871654, 423871654], [419372966, 419372966, 419372966]])\n",
    "y = np.array([[793, 793, 793], [778, 778, 778]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[534516.58764187, 534516.58764187, 534516.58764187],\n",
       "       [539039.80205656, 539039.80205656, 539039.80205656]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# real div output\n",
    "np.divide(x, y)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When numerator is very large($>2^{28}$ for `FM64` and `fxp=18`), then the integer part may overflow under large probability, and this brings huge error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# use default setting as usual\n",
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=DEFAULT_SPU_FIELD,  # FM64\n",
    "    fxp_fraction_bits=DEFAULT_SPU_FXP_FRACTION_BITS,  # 18fxp\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_div = pps.sim_jax(simulator, jnp.divide)\n",
    "\n",
    "z = spu_div(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[10221.877, 10223.456, 10221.877],\n",
       "       [14744.429, 14744.429, 14745.99 ]], dtype=float32)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# get huge difference between real div output\n",
    "z"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this situation, **enlarging** field to `FM128` may be the only remedy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=spu.FieldType.FM128,  # use larger field to accommodate larger numerator\n",
    "    fxp_fraction_bits=18,  #  fix fxp as FM64 does\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_div = pps.sim_jax(simulator, jnp.divide)\n",
    "\n",
    "z = spu_div(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[534513.06, 534513.06, 534511.44],\n",
       "       [539032.44, 539034.  , 539032.44]], dtype=float32)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# it behaves much better than FM64.\n",
    "# but some minor error always exits\n",
    "z"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we try larger fxp."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=spu.FieldType.FM128,  # use larger field to accommodate larger numerator\n",
    "    fxp_fraction_bits=40,  #  use larger fxp\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_div = pps.sim_jax(simulator, jnp.divide)\n",
    "\n",
    "z = spu_div(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[534510.8, 534510.8, 534510.8],\n",
       "       [539033. , 539033. , 539033. ]], dtype=float32)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# seems similar to fxp=18\n",
    "z"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we have mentioned at **reciprocal** part, SPU implements reciprocal with Goldschmidt's method, so the final precision depends heavily on the **iter numbers**.\n",
    "\n",
    "We first go through the algorithm quickly. let $r_i$ denote the approximation of reciprocal, $e_i$ be the relative error, then in one iter:\n",
    "$$ r_i = r_{i-1}(1+e_i) \\\\\n",
    "    e_{i+1} = e_i^2\n",
    "$$\n",
    "\n",
    "It's easy to prove that:\n",
    "\n",
    " 1. To compute `Div(a, b)`, if we need $|\\frac{a}{b} - r_i| \\le 2^{-l}$, then $\\lceil {log(\\frac{l +log(a)}{\\tau})} \\rceil$ iterations should be done(we assume $|\\frac{1}{b} - r_0| \\le 2^{-\\tau}$).In current implementation, we choose polynomial of degree 1 as the initial guess of reciprocal, which leads to $\\tau \\approx 3.5$.\n",
    " \n",
    "2. The relative error $e_i = e_0^{2^i}$(same as `Div(a,b)`).\n",
    "\n",
    "Although some other factors like fxp and truncation will also bring into some errors, the above error analysis can still give readers some recommendations when deciding `fxp_div_goldschmidt_iters`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now, we enlarge the goldschmidt_iters\n",
    "config = spu.RuntimeConfig(\n",
    "    protocol=DEFAULT_SPU_PROTOCOL,\n",
    "    field=spu.FieldType.FM128,\n",
    "    fxp_fraction_bits=18,\n",
    "    fxp_div_goldschmidt_iters=3,  # set iters to 3\n",
    ")\n",
    "simulator = pps.Simulator(3, config)\n",
    "\n",
    "spu_div = pps.sim_jax(simulator, jnp.divide)\n",
    "\n",
    "z = spu_div(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[534517.75, 534516.2 , 534514.6 ],\n",
       "       [539037.1 , 539038.7 , 539037.1 ]], dtype=float32)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now the gap between numpy is very small\n",
    "z"
   ]
  }
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